William Arveson Papers, 1939-2013 (Bulk 1965-2007)

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Finding Aid to the William Arveson papers, 1939-2013 (bulk 1965-2007)

Bancroft Library Staff The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ © September 11, 2013 The Regents of the University of California. All rights reserved.

Finding Aid to the William BANC MSS 2012/140 1 Arveson papers, 1939-2013 (bulk 1965-2007) Finding Aid to the William Arveson papers, 1939-2013 (bulk 1965-2007)

Collection number: BANC MSS 2012/140

The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Finding Aid Author(s): Bancroft Library Staff Date Completed: September 11, 2013 Finding Aid Encoded By: GenX © 2013 The Regents of the University of California. All rights reserved.

Collection Summary Collection Title: William Arveson papers Date (inclusive): 1939-2013 Date (bulk): 1965-2007 Collection Number: BANC MSS 2012/140 Creator: Arveson, William Extent: 9 cartons11.25 linear ft. Repository: The Bancroft Library. University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Abstract: The William Arveson papers document his career as a faculty member in the Department of Mathematics at the University of California, Berkeley from 1969 to 2011. Professor Arveson was a leading expert and original researcher in the theory of operators and operator algebras, areas with close ties to physics, especially to quantum theory. The collection is arranged into eight series: Correspondence, Writings, Lectures and Seminars, Teaching Materials (including UCLA, Harvard and UCB), UCB Departmental Files, Professional Files, Research Files, and Biographical Materials. Languages Represented: Collection materials are in English Access Information Collection is open for research. Preferred Citation [Identification of item], William Arveson Papers, BANC MSS 2012/140, The Bancroft Library, University of California, Berkeley Alternative Form of Materials Available There are no alternate forms of this collection. Removed or Separated Material Digital material transferred to Bancroft Digital Collections.

Finding Aid to the William BANC MSS 2012/140 2 Arveson papers, 1939-2013 (bulk 1965-2007) Indexing Terms The following terms have been used to index the description of this collection in the library's online public access catalog Arveson, William--Archives University of California, Berkeley. Department of Mathematics. Mathematicians -- United States. Mathematics -- Research. Mathematics -- Study and teaching. University of California, Berkeley -- Faculty. Faculty papers. The William Arveson papers were donated to the Library by Lee Ann Kaskutas on April 24, 2012. Additional materials were received on June 14, 2012. No additions are expected. Processing Information Processed by Bancroft Library staff in 2013. Biography/Organization History William Barnes Arveson was born in Oakland, California on November 22, 1934. His parents divorced when he was just a year old and moved separately to Southern California, leaving Arveson in Oakland in the care of his maternal grandmother. Arveson's mother remarried when he was in high school, at which point he moved to San Gabriel, California where he attended Alhambra High, graduating in 1952. After high school Arveson enlisted in the U.S. Navy. He scored very highly on the Navy’s placement test, giving him his choice of naval jobs. He chose to study radar technology. After training he spent three years on an aircraft carrier in the Pacific as the carrier’s repairman. At the end of his naval service Arveson was encouraged to make a career of the Navy. He decided instead to go to college. After two years at Pasadena City College, Arveson transferred to the California Institute of Technology. He graduated from CalTech with a B.S. in Mathematics in 1960, whereupon he entered the graduate mathematics program at the University of California, Los Angeles. He earned his M.A. in 1963 and his Ph.D. in 1964. While at UCLA, Arveson maintained his navy connection serving as a Mathematician G7 in 1960-1961 and as a Mathematician G12 in fall 1965 at the Naval Undersea Research and Development Center in Pasadena, California. After receiving his Ph.D. in the fall of 1964, Arveson stayed at UCLA in spring 1965 as an Acting Assistant Professor. In the period 1965-1968 he served as a Benjamin Pierce Instructor at Harvard University. The University of California, Berkeley, hired Arveson as a Lecturer in Mathematics in 1968 but quickly promoted him to Associate Professor in 1969 and then to Professor in 1974. Arveson became Emeritus Professor upon his retirement in 2003. Professor Arveson had visiting positions in the US and world-wide, including UCLA, UCSD, Pennsylvania, Newcastle (UK), Aarhus (Denmark), Oslo and Trondheim (Norway), Stockholm, Tel Aviv, Canberra, Rio de Janeiro, Tianjin (China), and Kyoto. He also received two Miller research professor awards at Berkeley. Arveson strongly inspired and influenced many researchers through his teaching, writing, and lecturing. An elegant expositor who took great care with his writing, he published 79 scholarly manuscripts and authored eight books on C*-algebras, operator algebras, spectral theory, and noncommutative dynamics. His editorial services included the Bulletin of the American Mathematical Society, Proceedings of the Edinburgh Mathematical Society, Duke Mathematical Journal, and three decades as Editor of the Journal of Operator Theory (Romania). Arveson was committed to the mentorship of young mathematicians, of whom 29 wrote their doctoral dissertations under his guidance. Many of them went on to be prominent research mathematicians in their own right. Arveson was a leading expert and a highly innovative researcher in the area of operator algebras spearheaded by the famous John Von Neumann, an area of mathematics that underlies quantum physics and can be traced back to Heisenberg's formulation of quantum mechanics. Arveson pioneered the exploration of certain mysterious structures that arise in a basic way from the modeling of the irreversible dynamics of quantum systems, for example, the creation and annihilation of particles such as electrons and the strange particles found in cosmic rays. In the 1990's he opened a new front in his research with highly original ideas for applying seemingly unrelated abstract mathematics to the efficient calculation of important quantities in quantum physics. Arveson's important contributions continued to flow and began to include applications of quantum spaces to quantum information theory and quantum computing. Arveson loved jazz and taught himself to play the saxophone while serving on an aircraft carrier. He also loved the movies and went to a matinee every Sunday. Arveson and his wife, Lee Ann were aficionados of miniature dachshunds and they

Finding Aid to the William BANC MSS 2012/140 3 Arveson papers, 1939-2013 (bulk 1965-2007) enjoyed taking their dogs with them on holidays to Sea Ranch. At the time of his death, he was survived by his wife of 26 years, Lee Ann Kaskutas, by his sons Jeff and Robert from a previous marriage, and by his miniature dachshund Bronco. Derived from an obituary appearing in the San Francisco Chronicle (November 27, 2011), as well as the University of California Academic Senate “In Memoriam” essay for Professor Arveson (2012). Scope and Content Note William Barnes Arveson served as a faculty member in the Department of Mathematics at the University of California, Berkeley from 1969 to 2011. Professor Arveson was a leading expert and original researcher in the theory of operators and operator algebras, areas with close ties to physics, especially to quantum theory. The collection is arranged into eight series: Correspondence, Writings, Lectures and Seminars, Teaching Materials (including UCLA, Harvard and UCB), UCB Departmental Files, Professional Files, Research Files, and Biographical Materials. Correspondence contains letters to and from notable mathematicians from academic institutions nationally and internationally; correspondents include Niels T. Andersen, Constantin Apostol, Earl Berkson, Rajendra Bhatia, John Bunce, Brian Col, Joaquin Curiel, Art G. Duncan, Paul Halmos, Richard Kadison, Jitka Křížková, Zeller Meier, Wlodzimierz Mlak, Pete Rosenthal, Cedwin F. Schubert, Allen Shields, Erling Stormer, Anthony C. Thompson and Dan Voiculescu. In addition, there are letters from personal friends, including Patricia and Darrin Smith and Ziva and Morry Zippin. Writings include the complete published papers of Professor Arveson, starting in 1966 with “A theorem on the action of abelian unitary groups” and concluding in 2011 with “Helson and subdiagonal operator algebras” in a tribute to Henry Helson. This series also includes the various unpublished papers of Professor Arveson. Lectures and Seminars include transcripts of talks Arveson delivered at academic institutions around the world--in England, China, France, Norway, Italy, Israel, Japan, Denmark, among other locales--as well as throughout the United States. These talks reveal Professor Arveson’s leading authority in the area of operator theory research. This series is well represented by detailed mathematical notations used by Professor Arveson for each of these various lectures. Teaching Materials include comprehensive lecture notes for UCLA (1965), Harvard (1965-1968) and UC Berkeley (1968-2011). UCB Departmental files contain administrative information such as qualifying exams, admissions, personnel committee notes, teaching evaluations and information on international exchange scholars. Professor Arveson acted in the role of faculty associate, supporting such international exchange scholars as Rajendra Bhatia of India. Professional Files contain requests from the American Mathematical Society to Professor Arveson to arrange special sessions and give lectures and presentations on operator theory. Also documented are the annual joint Summer Research Conferences put on by the American Mathematical Society (AMS), the Institute of Mathematical Statistics (IMS) and the Society for Industrial and Applied Mathematics (SIAM). In addition, Professional Files contain publishing and royalties’ information, as well as grants and fellowships awarded to Professor Arveson by the Guggenheim Memorial Foundation, the Miller Institute for Basic Research in Science and the National Science Foundation. Professor Arveson was the principal investigator for grants from the National Science Foundation during most of his career at Berkeley. Arveson served as National Research Council Research Fellow in 1971 at the University of Newcastle, England. He served as a Visiting Professor at Aarhus University in Denmark during 1973-1974, and at the University of California, San Diego in 1974-1975. He won a Guggenheim Fellowship for 1976-1977, and in 1985-1986 and 1999-2000 he held a prestigious Miller Professorship at the University of California, Berkeley. Professor Arveson served the mathematics community as editor of several major journals. His positions included Principal Editor of the Journal of Operator Theory, Consulting Editor of the Journal of the Edinburgh Mathematical Society, Associate Editor of the Bulletin of the American Mathematical Society, and Associate Editor of the Duke Mathematical Journal. He also served a term as treasurer of the Pacific Journal of Mathematics. The Research files are quite extensive and wide-ranging, dating from 1974 to 2006. Professor Arveson’s primary interests were in functional analysis and operator algebras, as spearheaded by the famous John Von Neumann. The basic theory of two classes of such algebras, called C*- algebras and Von Neumann algebras both possess a property called self-adjointness. Professor Arveson set out to develop a theory of such algebras, and much of his early work focused on this project establishing him as a world leader in this area. Biographical materials include Professor Arveson’s curriculum vitae, his dissertation titled “Prediction Theory and Group Representations” (1964), biographical sketches, memorial essays, and a photograph album beginning with Professor Arveson as a young boy in Oakland in 1939, progressing through his life as a professor and lecturer. The last photographs date from 2007.

Finding Aid to the William BANC MSS 2012/140 4 Arveson papers, 1939-2013 (bulk 1965-2007) Series 1Correspondence 1967-2000

Series 1 Correspondence 1967-2000 Physical Description: carton 1, folder 1-166 Scope and Content Note Correspondence contains letters to and from notable mathematicians from academic institutions nationally and internationally; correspondents include Niels T. Andersen, Constantin Apostol, Earl Berkson, Rajendra Bhatia, John Bunce, Brian Col, Joaquin Curiel, Art G. Duncan, Paul Halmos, Richard Kadison, Jitka Křížková, Zeller Meier, Wlodzimierz Mlak, Pete Rosenthal, Cedwin F. Schubert, Allen Shields, Erling Stormer, Anthony C. Thompson and Dan Voiculescu. In addition, there are letters from personal friends, including Patricia and Darrin Smith and Ziva and Morry Zippin.

carton 1, folder 1 Abrahamse, M. B., 1972 carton 1, file 2 Addison, John W., 1972 carton 1, folder 3 Andersen, N. T., 1978-1980 carton 1, folder 4 Apostal, Constantin, 1974-1984 carton 1, folder 5 Arsene, Grigore, 1972 carton 1, file 6 Atzmon, Aharon, 1972 carton 1, file 7 Auslander, Joe, 1972 carton 1, folder 8 Bartle, Robert G., 1978 carton 1, folder 9 Belinfante, Johan G. F., 1972 carton 1, folder 10 Berg, I. David, 1993 carton 1, folder 11 Berkson, Earl, 1970-1972 carton 1, folder 12 Bhatia, Rajendra, 1980 carton 1, folder 13 Birkhoff, Garrett, 1971-1972 carton 1, folder 14 Blackadar, Bruce E., 1981 carton 1, folder 15 Blattner, Bob, 1972-1989 carton 1, folder 16 Briggs, Anna, 1972 carton 1, folder 17 Brougham, Leonard, 1971 carton 1, folder 18 Brown, Larry, 1975 carton 1, folder 19 Brunk, H. Dan, 1975 carton 1, folder 20 Bouldin, Richard, 1970 carton 1, folder 21 Bowker, Albert, 1974 carton 1, folder 22 Bunce, John, 1974-1979 carton 1, folder 23 Busby, Robert, 1970 carton 1, folder 24 Cain, Bryan, 1971 carton 1, folder 25 Cain, Cathy, 1986 carton 1, folder 26 Cambanis, Stamatis, 1978 carton 1, folder 27 Campbell, Alan M., 1972 carton 1, folder 28 Caradus, Sel R., 1972 carton 1, folder 29 Carleson, Lennart, 1971 carton 1, folder 30 Cayford, Ryton H., 1972 carton 1, folder 31 Chang, Alice Sun-Yung, 1974 carton 1, folder 32 Cheng, Shiu-Yuen, 1978 carton 1, folder 33 Chernoff, Paul, 1984 carton 1, folder 34 Choi, Man-Duen, 1972 carton 1, folder 35 Cimmino, Gianfranco, 1975 carton 1, folder 36 Col, Brian, 1969 carton 1, folder 37 Connes, Alain, 1972 carton 1, folder 38 Corwin, Larry, 1972 carton 1, folder 39 Craw, Ian G., 1972 carton 1, folder 40 Curiel, Joaquin, 1972 carton 1, folder 41 Davidson, Ken, 1978 carton 1, folder 42 Davis, Chandler, 1972 carton 1, folder 43 Deddens, Jim, 1973 carton 1, folder 44 Deel, James C., 1972 carton 1, folder 45 DePrima, Charles R., 1975 carton 1, folder 46 Ding, Guang-Gui, 1981

Finding Aid to the William BANC MSS 2012/140 5 Arveson papers, 1939-2013 (bulk 1965-2007) Series 1Correspondence 1967-2000

carton 1, folder 47 Doplicher, Sergio, 1975 carton 1, folder 48 Doran, Robert S., 1970-1972 carton 1, folder 49 Douglas, Ronald G., 1975-1998 carton 1, folder 50 Douglas-Heath, Ronald G., 1971 carton 1, folder 51 Duncan, Art G., 1972 carton 1, folder 52 Enflo, Per, circa 1970s carton 1, folder 53 Erdos, John, 1972 carton 1, folder 54 Ernest, John, 1970 carton 1, folder 55 Euclos, John, 1967-1972 carton 1, folder 56 Evans, Arthur, 1979 carton 1, folder 57 Exel, Ruy, 1985 carton 1, folder 58 Feintuch, Avraham, 1972 carton 1, folder 59 Feldstein, Alan; Nering, Evar D., 1979 carton 1, folder 60 Forrest, Peter, 1972 carton 1, folder 61 Gaice, Lars, 1981 carton 1, folder 62 Gentwhaler, Murray, 1985 carton 1, folder 63 Gilbarg, David, 1975 carton 1, folder 64 Greenleaf, Fred, 1970 carton 1, folder 65 Greiner, Peter C., 1975 carton 1, folder 66 Grillet, Pierre Anton, 1980 carton 1, folder 67 Guyker, James, 1969 carton 1, folder 68 Haagerup, Uffe, 1980-1984 carton 1, folder 69 Halmos, Paul, 1971-1981 carton 1, folder 70 Halpern, Herb, circa 1970s carton 1, folder 71 Harris, Lawrence, 1973-1997 carton 1, folder 72 Haynor, David, 1971 carton 1, folder 73 Helton, Bill, 1975 carton 1, folder 74 Holbrook, John, 1972 carton 1, folder 75 Holladay, Ken, 1972 carton 1, folder 76 Hopenwasser, Alan, 1973-1974 carton 1, folder 77 Istratescu, Vasile I., 1974 carton 1, folder 78 Iwanik, Anzelm, 1984 carton 1, folder 79 Johnson, Barry E.; Ringrose, John, 1978-1980 carton 1, folder 80 Johnson, Gerald, 1974 carton 1, folder 81 Palle, Jorgensen, circa 1970s carton 1, folder 82 Kadison, Richard, 1975-1992 carton 1, folder 83 Kaplansky, Irving, 1972 carton 1, folder 84 Kennison, John, 1971 carton 1, folder 85 Kosaki, Hideki, undated carton 1, folder 86 Krizkova, Jitka, 1982-1983 carton 1, folder 87 Lance, E. Chris, 1979 carton 1, folder 88 Landweber, Peter, 1980 carton 1, folder 89 Lanford, Oscar, 1971 carton 1, folder 90 Lassner, G.; Uhlmann, A., 1983 carton 1, folder 91 Longo, Robert, 1979 carton 1, folder 92 Lorentz, G. G., 1973 carton 1, folder 93 Mayer, Alan M., 1994 carton 1, folder 94 McGehee, Carruth, 1972 carton 1, folder 95 McKenzie, Ralph, 1972 carton 1, folder 96 McVoy, J. Michael, 1970 carton 1, folder 97 Meier, Zeller, 1967-1969 carton 1, folder 98 Miscellaneous, 1973-1990s carton 1, folder 99 Mlak, Wlodzimierz, 1969-1972 carton 1, folder Morel, Bernard B., 1971-1975 100 carton 1, folder Mostert, Paul S., 1972 101

Finding Aid to the William BANC MSS 2012/140 6 Arveson papers, 1939-2013 (bulk 1965-2007) Series 1Correspondence 1967-2000

carton 1, folder Moyer, R. D., 1971-1972 102 carton 1, folder Muhly, Paul, 1972 103 carton 1, folder Myers, Donald, 1970 104 carton 1, folder Nash, John C. M., undated 105 carton 1, folder Nordgren, Eric, 1979 106 carton 1, folder Olesen, Dante, 1974 107 carton 1, folder Olson, Cathy, 1972 108 carton 1, folder Palmer, Theodore, 1972 109 carton 1, folder Parlett, Beresford N., undated 110 carton 1, folder Parrott, Steve, 2000 111 carton 1, folder Pearcy, Carl, 1971-1972 112 carton 1, folder Pears, Alan, 1986 113 carton 1, folder Pedersen, Gert, 1979-1992 114 carton 1, folder Pesczynski, Aleksander, 1973 115 carton 1, folder Phillips, Chris, 1986 116 carton 1, folder Phillips, Ralph, 1983 117 carton 1, folder Pincus, Joel, 1984 118 carton 1, folder Poon, Yi, undated 119 carton 1, folder Price, Geoffrey, 1988 120 carton 1, folder Ptak, Vlastimil, 1971-1986 121 carton 1, folder Rabindranathan, M., 1972 122 carton 1, folder Ray, David, 1972-1973 123 carton 1, folder Ricardo, Henry, 1971-1972 124 carton 1, folder Richter, Stefan, 1999 125 carton 1, folder Robinson, Denh W., 1981 126 carton 1, folder Rosenthal, Pete, 1968-1975 127 carton 1, folder Ross, Kenneth, 1972 128 carton 1, folder Rudin, Walter, 1997 129 carton 1, folder Russo, Bernie, 1969 130

Finding Aid to the William BANC MSS 2012/140 7 Arveson papers, 1939-2013 (bulk 1965-2007) Series 1Correspondence 1967-2000

carton 1, folder Saeks, R., 1981 131 carton 1, folder Saffern, W., 1972 132 carton 1, folder Saito, Kazuyuki, 1968 133 carton 1, folder Sakai, Shoichiro, 1972-1985 134 carton 1, folder Salina, Norberto, 1974 135 carton 1, folder Schubert, Cedwin F., 1974 136 carton 1, folder Schubert, Ethel, 1975 137 carton 1, folder Segal, Irving, 1972-1991 138 carton 1, folder Shapiro, George S., 1971 139 carton 1, folder Shields, Allen, 1972 140 carton 1, folder Simon, Barry, 1994 141 carton 1, folder Sinclair, Allan, 1970 142 carton 1, folder Singh, Ajit Iqbal, 1994 143 carton 1, folder Smith, Patricia, 1982-1983 144 carton 1, folder Smith, S. H., 1972 145 carton 1, folder Spain, Philip, 1974 146 carton 1, folder Stormer, Erling, 1969-1980 147 carton 1, folder Sunder, V. S., 1984 148 carton 1, folder Swaminathan, S., 1970 149 carton 1, folder Szokefalvi-Nagy, Bela, 1988 150 carton 1, folder Szymanski, Waclaw, 1974-1981 1974-1981 carton 1, folder Takesaki, Masamichi, 1967-1988 152 carton 1, folder Tenner, Edward, 1976-1977 153 carton 1, folder Thompson, Anthony C., 1984-1985 154 carton 1, folder Toppeiez, Dave, 1969 155 carton 1, folder Varopoulos, Nicholas, 1980 156 carton 1, folder Vesterstrom, Jorgen, 1972 157 carton 1, folder Voiculescu, Dan, 1983-1985 158 carton 1, folder Watanabe, S., 1972 159

Finding Aid to the William BANC MSS 2012/140 8 Arveson papers, 1939-2013 (bulk 1965-2007) Series 1Correspondence 1967-2000

carton 1, folder Watatani, Y., 1983 160 carton 1, folder Waterman, Alan, 1971-1972 161 carton 1, folder Weisfeld, Morris, 1975 162 carton 1, folder Widlund, Olof, 1973 163 carton 1, folder Wright, Marcus, W., 1971 164 carton 1, folder Wulfsohn, Aubrey, 1972 165 carton 1, folder Zippin, Ziva and Morry, 1972 166 Series 2 Writings 1965-2011 Physical Description: carton 1, folders 167-189; carton 2, folders 1-78 Scope and Content Note Writings include the complete published papers of Professor Arveson, starting in 1966 with “A theorem on the action of abelian unitary groups” and concluding in 2011 with “Helson and subdiagonal operator algebras” in a tribute to Henry Helson. Also included in Writings are the various unpublished papers of Professor Arveson.

carton 1, folder A Theorem on the Action of Abelian Unitary Groups, 1966 167 carton 1, folder An Algebraic Conjugacy Invariant for Measure-Preserving Transformations, 1967 168 carton 1, folder Analyticity in Operator Algebras, 1967 169 carton 1, folder Operator Algebras and Measure Preserving Automorphisms, 1967 170 carton 1, folder A Density Theorem for Operator Algebras, 1967 171 carton 1, folder A Note on Invariant Subspaces, 1968 171 carton 1, folder Operator Algebras and Measure Preserving Automorphisms II, 1968 172 carton 1, folder On Subalgebras of C*-Algebras, 1969 173 carton 1, folder Subalgebras of C*-Algebras, 1969 174 carton 1, folder Unitary Invariants for Compact Operators, 1970 175 carton 1, folder Operators with Compact Imaginary Part, 1971 176 carton 1, folder Subalgebras of C*-Algebras II, Acta Mathematica, 1972 177 carton 1, folder Lattices of Invariant Subspaces, 1972 178 carton 1, folder On Groups of Automorphisms and Operator Algebras, 1974 179 carton 1, folder Operator Algebras and Invariant Subspaces, 1974 180 carton 1, folder A Note on Essentially Normal Operators, 1974 181 carton 1, folder Interpolation Problems in Nest Algebras, 1974 182

Finding Aid to the William BANC MSS 2012/140 9 Arveson papers, 1939-2013 (bulk 1965-2007) Series 2Writings 1965-2011

carton 1, folder A Spectral Theorem for Nonlinear Operators, 1976 183 carton 1, folder Spectral Theory for Nonlinear Random Processes, 1976 184 carton 1, folder Notes on Extensions of C*-Algebras, 1977 185 carton 1, folder Perturbations of Nest Algebras, 1979 186 carton 1, folder The Harmonic Analysis of Automorphism Groups, 1982 187 carton 1, folder Quantization and the Uniqueness of Invariant Structures, 1983 188 carton 1, folder Perturbation Theory for Groups and Lattices, 1983 189 carton 2, folder 1 Ten Lectures on Operator Algebras, 1984 carton 2, folder 2 Continuous Nests and the Absorption Principle, 1985 carton 2, folder 3 Markov Operators and OS-Positive Processes, 1985 carton 2, folder 4 Nonlinear States on C*-Algebras, 1987 carton 2, folder 5 Continuous Analogues of Fock Space, 1989 carton 2, folder 6 An Addition Formula for the Index of Semigroups of Endomorphisms of B(H), 1989 carton 2, folder 7 Continuous Analogues of Fock Space III: Singular States, 1989 carton 2, folder 8 Continuous Analogues of Fock Space II: The Spectral C*-Algebra, 1990 carton 2, folder 9 The Spectral C*-Algebra of an Eo-Semigroup, 1990 carton 2, folder 10 Continuous Analogues of Fock Space IV: Essential States, 1990 carton 2, folder 11 Quantizing the Fredholm Index, 1990 carton 2, folder 12 C*-Algebras Associated with Sets of Semigroups of Isometries 1991 carton 2, folder 13 A Note on Extensions of Semigroups of *-Endomorphisms, 1992 carton 2, folder 14 Non-commutative Spheres and Numerical Quantum Mechanics, 1993 carton 2, folder 15 Discretized CCR Algebras, 1991 carton 2, folder 16 Improper Filtrations for C*-Algebras: Spectra of Unilateral Tridiagonal Operators, 1993 carton 2, folder 17 C*-Algebras and Numerical Linear Algebra, 1994 carton 2, folder 18 The Role of C*-Algebras in Infinite Dimensional Numerical Linear Algebra, 1994 carton 2, folder 19 Eo-Semigroups in Quantum Field Theory, 1994 carton 2, folder 20 Dynamical Invariants for Noncommutative Flows, 1997 carton 2, folder 21 Minimal Eo-Semigroups; Operator Algebras and Their Applications, 1997 carton 2, folder 22 Path Spaces, Continuous Tensor Products and Eo-Semigroups, 1994 carton 2, folder 23 The Index of a Quantum Dynamical Semigroup, 1997 carton 2, folder 24 Pure Eo-Semigroups and Absorbing States, 1997 carton 2, folder 25 Subalgebras of C*-Algebras III; Multivariable Operator Theory, 1998 carton 2, folder 26 The Curvature of a Hilbert Module over C[z1,...,zd], 1999 carton 2, folder 27 On the Index and Dilations of Completely Positive Semigroups, 1996 carton 2, folder 28 The Curvature Invariant of a Hilbert Module over C[z1,...zd], 2000 carton 2, folder 29 Interactions in Noncommutative Dynamics, 2000 carton 2, folder 30 Infinite Tensor Products of Completely Positive Semigroups, 2001 carton 2, folder 31 The Dirac Operator of a Commuting of d-tuple, 2002 carton 2, folder 32 The Domain Algebra of a CP-Semigroup, 2002 carton 2, folder 33 The Heat Flow of the CCR Algebra, 2002 carton 2, folder 34 The Structure of Spin Systems, 2003 carton 2, folder 35 Generators of Non-Commutative Dynamics, 2002 carton 2, folder 36 Four Lectures on Non-Commutative Dynamics, 2003 carton 2, folder 37 Asymptotic Stability I; Completely Positive Maps, 2004 carton 2, folder 38 The Universal A-Dynamical System, 2004 carton 2, folder 39 The Free Cover of a Row Contraction, 2004 carton 2, folder 40 p-Summable Commutators in Dimension d, 2005 carton 2, folder 41 Diagonals of Self-Adjoint Operators, 2006 carton 2, folder 42 On the Existence of Eo-Semigroups, 2006 carton 2, folder 43 Diagonals of Normal Operators with Finite Spectra, 2006

Finding Aid to the William BANC MSS 2012/140 10 Arveson papers, 1939-2013 (bulk 1965-2007) Series 2Writings 1965-2011

carton 2, folder 44 The Asymptotic Lift of a Completely Positive Map, 2006 carton 2, folder 45 Quotients of Standard Hilbert Modules, 2007 carton 2, folder 46 Asymptotic Lifts of Positive Linear Maps, 2007 carton 2, folder 47 Lifting Endomorphisms to Automorphisms, 2008 carton 2, folder 48 The Noncommutative Choquet Boundary, 2008 carton 2, folder 49 The Probability of Entanglement, 2009 carton 2, folder 50 Quantum Channels that Preserve Entanglement, 2009 carton 2, folder 51 Maximal Vectors in Hilbert Space and Quantum Entanglement, 2009 carton 2, folder 52 Dilation Theory Yesterday and Today, A Glimpse at Hilbert Space Operators, 2010 carton 2, folder 53 The Noncommutative Choquet Boundary III: Operator Systems in Matrix Algebras, 2010 carton 2, folder 54 The Noncommutative Choquet Boundary II: Hyperrigidity, 2011 carton 2, folder 55 Book Reviews - C*-Algebras by Example, 1997 carton 2, folder 56 The Prediction-Evasion Problem in ASW: A Theoretical Approach, 1965 carton 2, folder 57 Dimension Theory, 1965 carton 2, folder 58 An Approximation Theorem for Function Algebras, 1968 carton 2, folder 59 Invariant Subspaces and Spectral Synthesis, 1971 carton 2, folder 60 The Choquet Boundary and Approximation Theory, circa 1970s carton 2, folder 61 An Approximation Theorem for Function Algebras, circa 1970s carton 2, folder 62 Representations of Unitary Groups, circa 1970s carton 2, folder 63 Lectures on Nonlinear Spectral Theory and Random Processes, 1979 carton 2, folder 64 Circular Operators, 1984 carton 2, folder 65 Nonlinear Spectral Theory with Applications to Nonlinear Noise, 1984 carton 2, folder 66 Quantizing the Fredholm Index, 1988 carton 2, folder 67 Generators of Noncommutative Dynamics, 1991 carton 2, folder 68 C*-Algebras and Numerical Linear Algebras, undated carton 2, folder 69 The Universal A-Dynamical System, 1991 carton 2, folder 70 p-Summable Commutators in Dimension d, 1991 carton 2, folder 71 Notes on Measure and Integration in Locally Compact Spaces, 1993 carton 2, folder 72 Early Work on Eo-Semigroups; Research Proposal, 1996 carton 2, folder 73 The Canonical Anticommutation Relations, 1998 carton 2, folder 74 The Eo-Semigroup Sentinel, 1999 carton 2, folder 75 p-Summable Commutators in Dimension d>1, 1999 carton 2, folder 76 Comments on Tsirelson's Covariance Function, 2000 carton 2, folder 77 Several Problems in Operator Theory, 2003 carton 2, folder 78 Quotients of Standard Hilbert Modules, 2005 Series 3 Lectures and Seminars 1969-2013 Physical Description: carton 2, folders 79-97; carton 3, folders 1-77 Scope and Content Note Lectures and Seminars include transcripts of talks Arveson gave to academic institutions around the world; e.g. England, China, France, Norway, Italy, Israel, Japan, Denmark, etc., as well as locations throughout the United States. These talks reveal Professor Arveson’s leading authority in the area of operator theory research. This series is well represented by detailed mathematical notations used by Professor Arveson for each of these various lectures.

carton 2, folder 79 Indiana Conference: Factorization in Certain Operator Algebras, 1969 carton 2, folder 80 Invariant Subspaces and Operator Algebras on Hilbert Space, 1970 carton 2, folder 81 Aberdeen, Scotland: Problems on Numerical Ranges, 1971 carton 2, folder 82 Santa Cruz, California: Dilation Theory, 1972 carton 2, folder 83 Functional Analysis Colloquium, 1971-1974 carton 2, folder 84 Aarhus University, Denmark: Invariant Subspaces, Compact Perturbations, Quasitriangular Operators, 1973-1974 carton 2, folder 85 Iowa Lectures, 1976-1979 carton 2, folder 86 IMPA, Rio de Janeiro: Instituto Nacional de Matematica Pura e Aplicada, 1977 carton 2, folder 87 Colloquia: Lincoln, NE; Texas A&M University; UCB/UCLA; Cal Tech/ Dalhousie University, Canada, 1978-1983

Finding Aid to the William BANC MSS 2012/140 11 Arveson papers, 1939-2013 (bulk 1965-2007) Series 3Lectures and Seminars 1969-2013

carton 2, folder 88 Distinguished Speaker Invitations, 1978-1985 carton 2, folder 89 Functional Analysis Colloquium, 1978-1992 carton 2, folder 90 Baire Category Theorem, undated carton 2, folder 91 Mittug-Leffler Institute: Stockholm, Sweden, Graphs of Canchy and White Noise, 1980 carton 2, folder 92 Kingston, Jamaica; CCRs, 1981 carton 2, folder 93 Functional Analysis Colloquium, circa 1980s carton 2, folder 94 Functional Analysis Colloquium, circa 1980s carton 2, folder 95 Colloquium Talks, 1981-1982 carton 2, folder 96 Seminars, 1981-1982 carton 2, folder 97 Texas Tech University; Conference Board of the Mathematical Sciences, 1982-1983 carton 3, folder 1 Texas A&M University; Quasitriangular Operator Algebras, 1983 carton 3, folder 2 Busteni, Romania; The Anharmonic Oscillator, 1983 carton 3, folder 3 Saskatoon, Canada Lectures; Feynman's Formula, 1985 carton 3, folder 4 China Trips; An Invitation to C*-Algebras, 1984-1989 carton 3, folder 5 Tianjin University, China; Basic Operator Theory, 1985 carton 3, folder 6 Bloomington, Indiana; Feynman's Formula, 1986 carton 3, folder 7 UCSD - Colloquium; Feynman-Korc and Operators, 1986 carton 3, folder 8 Canberra, Australia; Feynman-Korc Formula, 1986 carton 3, folder 9 K, (TIZ)), 1987 carton 3, folder 10 UCLA Lectures, Stability of the Free Euclidean Field, 1987 carton 3, folder 11 Lincoln, Nebraska Lectures, Continuous Fock Systems and Semi-Groups of Endomorphisms of B(H), 1987 carton 3, folder 12 Functional analysis Colloquium Fock Systems, 1987 carton 3, folder 13 Israel Lectures, Toeplitz Matrix, 1987 carton 3, folder 14 Iowa Lectures, Quantizing the Fredholm Index, 1988 carton 3, folder 15 Philadelphia Lectures, Quantizing the Fredholm Index, 1988 carton 3, folder 16 Durham, North Carolina Lectures, Algebraic QFT and Stability-Segal, 1988 carton 3, folder 17 GPOTS, Great Plains Operator Theory Symposium, 1988 carton 3, folder 18 Houston, Texas Lectures, Quantizing the Fredholm Index, 1989 carton 3, folder 19 Functional Analysis Colloquium, 1989-1990 carton 3, folder 20 UC Berkeley, Graphs of Spectrum Colloquium, 1992 carton 3, folder 21 Reno, Nevada Lectures, West Coast Operator Theory Algebra Seminar, 1992 carton 3, folder 22 Urbana, Illinois Colloquium, 1992 carton 3, folder 23 San Antonio, Texas Lectures; 50 Years of C*-Algebras, 1993 carton 3, folder 24 Trondheim, Norway Lectures; One-dimensional Quantum Systems, 1993 carton 3, folder 25 Cincinnati, Ohio Special Session; A Problem in -Dimensional Linear Algebra, 1994 carton 3, folder 26 GPOTS; Great Plains Operator Theory Symposium, 1994 carton 3, folder 27 Cal Tech - Eo-Semigroups, 1995 carton 3, folder 27 Field's Institute; Classification of Simple Purely Infinite C*-Algebras, 1995 carton 3, folder 28 Waterloo, Belgium; Metric Theory of Operator Spaces, 1995 carton 3, folder 29 Cambridge University, England; Quantization and Nonlinear Wave Equations, 1994 carton 3, folder 30 Annapolis, Maryland Lectures; Santa Clara, California Lectures 1995-1996 carton 3, folder 31 GPOTS, Great Plains Operator Theory Symposium, 1996 carton 3, folder 32 Samos, Greece Lectures; The Asymptotics of Non-Commutative Flows, 1996 carton 3, folder 33 Cal Tech; Return to Equilibrium for Semigroups of Endomorphisms of B(H), 1997 carton 3, folder 34 Corvallis, Oregon; The Energy of a Commutative Operator Space, 1997 carton 3, folder 35 Shanghai, China; Energy Sequence of an Operator Space, 1997 carton 3, folder 36 College Station, Texas Lectures; Multivariable Operator Theory, 1997 carton 3, folder 37 History Seminar; Homology and Spectrum, 1997 carton 3, folder 38 Marseille, France Lectures; Gauss-Bonnet Theorem, 1998 carton 3, folder 39 Irvine, California Talk; Continuous Time Analogues of the Cuntz C*-Algebras, undated carton 3, folder 40 Nordfjordeid, Norway Lecture; C*-Algebras, 1998 carton 3, folder 41 San Antonio, Texas Lectures; The Curvature Invariant in Multivariable Operator Theory, 1999 carton 3, folder 42 Nashville, Tennessee Lectures; The Curvature Invariant in Multivariable Operator Theory, 1999 carton 3, folder 43 Ambleside, England; Curvature Invariant, 2000

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carton 3, folder 44 Sacramento, California; Curvature Invariant of Multivariable Operator Theory, 1999 carton 3, folder 45 Iowa State University; Eigenvalue Lists of Normal States, 1999 carton 3, folder 46 Wichmann Symposium, UC Berkeley; Mathematical Physics and Quantum Field Theory, 1999 carton 3, folder 47 Analysis Seminar; Fock Model of Spin Systems, 1999-2000 carton 3, folder 48 Ambleside, England; Operator Function Theory and Semigroups, 2000 carton 3, folder 49 Ambleside, England; Dirac Operators and the Curvature Invariant, 2000 carton 3, folder 50 Cal Tech; Interactions in Noncommutative Dynamics, 2000 carton 3, folder 51 Mathematical Sciences Research Institute; Interactions in Noncommutative Dynamics; 2000 carton 3, folder 52 Miller Talk; What is Noncommutative Analysis?, 2000 carton 3, folders San Francisco State University; Spin Systems and Symplectic Forms, 2000 53 carton 3, folder 54 Mathematical Sciences Research Institute; Curvature and Dirac Operator of a Commuting D-Tuple, 2001 carton 3, folder 55 Functional Analysis Colloquium; Spin Systems, Spin Systems, 2001 carton 3, folder 56 Oslo, Norway; Generators of Noncommutative Dynamics, 2001 carton 3, folder 57 Mount Holyoke College, Massachusetts; Causality and Dynamics in B(H), 2002 carton 3, folder 58 Mount Holyoke College, Massachusetts; Reno, Nevada; Generators of Dynamics and Dilations, 2002 carton 3, folder 59 Role of Product Systems, 2002 carton 3, folder 60 Spectral C*-Algebras, 2002 carton 3, folder 61 UC Davis Colloquium; Causality in Non-Commutative Dynamics, 2002 carton 3, folder 62 UC Los Angeles; Asymptotics, 2003 carton 3, folder 63 Richard Kadison Project, 2003 carton 3, folder 64 Baltimore, Maryland; Non-Commutative Dynamics, Moment Polynomials and Dilations, 2003 carton 3, folder 65 Lecture Notes; Entropy Invariant, 2003-2005 carton 3, folder 66 Banff, Canada; Kyoto, Japan; Fredholm Dirac Operators, 2003-2004 carton 3, folder 67 Calgary, Canada; Causality in Non-Commutative Dynamics, 2003 carton 3, folder 68 Bangalore, India; Asymptotic Stability of Completely Positive Maps, 2003 carton 3, folder 69 Kyoto, Japan; E-Semigroups, 2004 carton 3, folder 70 Newcastle, England; The Free Cover of a Row Contraction, 2004 carton 3, folder 71 Copenhagen, Denmark; Hilbert Modules Over C[z1,...zd], K-Homology of Algebraic Varieties and Zelda's Curse, 2005 carton 3, folder 72 Salt Lake City, Utah; Operator Theory and the K-Homology of Algebraic Varieties, 2006 carton 3, folder 73 Salt Lake City, Utah; The Asymptotic Lift of a Completely Positive Map, 2006 carton 3, folder 74 Tucson, Arizona; The Noncommutative Choquet Boundary, 2007 carton 3, folder 75 Luminy, France; The Noncommutative Choquet Boundary, 2007 carton 3, folder 76 Toronto, Canada; The Noncommutative Choquet Boundary, 2007 carton 3, folder 77 GPOTS, Great Plains Operator Theory Symposium in Memory of William Arveson, 2013 Series 4 Teaching Materials 1965-2007 Physical Description: carton 3, folders 78-82; cartons 4-5; carton 6, folders 1-42 Scope and Content Note Teaching Materials include comprehensive lecture notes for UCLA (1965), Harvard (1965-1968) and UC Berkeley (1968-2011).

carton 3, folder 78 UC Los Angeles; Invariant Means, 1965 carton 3, folder 79 UC Los Angeles, Functional Analysis, 1965 carton 3, folder 80 UC Los Angeles; Functional Analysis, Math 228, 1965 carton 3, folder 81 UC Los Angeles; Math 228, 1965 carton 3, folder 82 UC Los Angeles, Math 228, 1965 carton 4, folder 1 UC Los Angeles; Math 238-I, 1965 carton 4, folder 2 UC Los Angeles; Math 238 - II, 1965 carton 4, folder 3 UC Los Angeles; Math 238 - III, 1965

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carton 4, folder 4 UC Los Angeles; Math 238 - IV, 1965 carton 4, folder 5 UC Los Angeles; Math 238 - V, 1965 carton 4, folder 6 Harvard; Quantum Mechanics, 1965-1966 carton 4, folder 7 Harvard Lectures, Math 221; The Existence of Invariant Subspaces, 1966-1967 carton 4, folder 8 Harvard Lectures; Math 248, 1965-1966 carton 4, folder 8 Harvard Lectures; Math 248, 1965-1966 carton 4, folder 9 Harvard Lectures; Math 241, 1967-1968 carton 4, folder 10 UC Berkeley; Assorted Math Exams, 1968-1980 carton 4, folder 11 UC Berkeley, Math 1B, 1999 carton 4, folder 12 UC Berkeley; Math 1B, 2001 carton 4, folder 13 UC Berkeley; Math 7B, undated carton 4, folder 14 UC Berkeley; Math 50A, 1993 carton 4, folder 15 UC Berkeley; Math H50A and H50B, 1983-1988 carton 4, folder 16 UC Berkeley; Math 104, 1994 carton 4, folder 17 UC Berkeley; Math 104A and 104B, 1969 carton 4, folder 18 UC Berkeley; Math 105, 1969 carton 4, folder 19 UC Berkeley; Math 105, 1971 carton 4, folder 20 UC Berkeley; Math 105, 2003 carton 4, folder 21 UC Berkeley; Math 110, 1994 carton 4, folder 22 UC Berkeley; Math 110, 1996 carton 4, folder 23 UC Berkeley; Math 113A, 1985 carton 4, folder 24 UC Berkeley; Math 113 B, 1971 carton 4, folder UC Berkeley; Math 128 A 1991 25-26 carton 4, folder 27 UC Berkeley; Math 155 DW, 1998 carton 4, folder 28 UC Berkeley; Math 185, 1971 carton 4, folder 29 UC Berkeley; Math 189, 1998 carton 4, folder 30 UC Berkeley; Lecture Notes, Math 202, 1993 carton 4, folder 31 UC Berkeley; Math 202 A, 1987 carton 4, folder 32 UC Berkeley; Math 202 A, 1973 carton 4, folder 33 UC Berkeley; Math 202 A, 1988 carton 4, folder 34 UC Berkeley; Math 202 A, 1992 carton 4, folder 35 UC Berkeley, Math 202 A, 1995 carton 5, folder 1 UC Berkeley; Math 202B, 1991 carton 5, folder 2 UC Berkeley; Math 202B, 1993 carton 5, folder 3 UC Berkeley; Math 202B, 1997 carton 5, folder 4 UC Berkeley; Math 202B, 2001 carton 5, folder UC Berkeley; Math 206 (1 of 2), 1984 5-6 carton 5, folder 7 UC Berkeley; Math 206, 1989 carton 5, folder 8 UC Berkeley; Math 206, 1992 carton 5, folder 9 UC Berkeley; Math 206, 1997 carton 5, folder 10 UC Berkeley; Math 206, 2000 carton 5, folder 11 UC Berkeley; Math 206, 2002 carton 5, folder 12 UC Berkeley; Math 206A, 1972 carton 5, folder 13 UC Berkeley; Math 206A, 1975 carton 5, folder 14 UC Berkeley; Math 206A, 1980 carton 5, folder 15 UC Berkeley; Math 206B, Linear Operators, 1970 carton 5, folder 16 UC Berkeley; Math 206B, 1972 carton 5, folder 17 UC Berkeley; Math 206B, 1975 carton 5, folder 18 UC Berkeley, Math 206B, 1978 carton 5, folder 19 UC Berkeley; Math 206B, 1980 carton 5, folder 20 UC Berkeley; Math 208, 1979 carton 5, folder 21 UC Berkeley; Math 208, 1980 carton 5, folder 22 UC Berkeley; Math 208, 1996-1998 carton 5, folder 23 UC Berkeley; Math 208, 1998 carton 5, folder 24 UC Berkeley; Math 209, 1984 carton 5, folder 25 UC Berkeley; Math 209, 1984

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carton 5, folder 26 UC Berkeley; Math 209, 1990 carton 5, folder 27 UC Berkeley; Math 209A, 1978 carton 5, folder 28 UC Berkeley; Math 209B, 1978 carton 5, folder 29 UC Berkeley; Math 278 II, 1982 carton 5, folder 30 UC Berkeley; Math 278, Topics in Operator Algebras, 1972 carton 5, folder 31 UC Berkeley; Math 278, 1974 carton 6, folder 1 UC Berkeley; Math 278, 1979 carton 6, folder 2 UC Berkeley; Math 278, 1986 carton 6, folder 3 UC Berkeley; Math 278, circa 1980s carton 6, folder 4 UC Berkeley; Math 278, 1996 carton 6, folder 5 UC Berkeley; Math 278, 1999 carton 6, folder 6 UC Berkeley; Math 278, 1999 carton 6, folder 7 UC Berkeley; Math 290, Multiplicity Theory, 1969 carton 6, folder 8 uC Berkeley; Math 290, Operator Algebras, 1971 carton 6, folder 9 UC Berkeley; Math 290, Compact Perturbations, 1973 carton 6, folder 10 UC Berkeley; Math 290, 1980 carton 6, folder 11 UC Berkeley; Math 290, 1983 carton 6, folder 12 UC Berkeley; Math 290, 1983 carton 6, folder 13 UC Berkeley; Math 290, 1983 carton 6, folder 14 UC Berkeley; Math 290, 1983 carton 6, folder 15 UC Berkeley; Math 290, 1984 carton 6, folder 16 UC Berkeley; Math 290, 1985 carton 6, folder 17 UC Berkeley; Math 290, 1986 carton 6, folder 18 UC Berkeley; Math 290, 1987 carton 6, folder 19 UC Berkeley; Math 290, 1988 carton 6, folder 20 UC Berkeley; Math 290, 1992 carton 6, folder 21 UC Berkeley; Math 290, 1992-1993 carton 6, folder 22 UC Berkeley; Math 290, 1994 carton 6, folder 23 UC Berkeley; Math 290, 1994 carton 6, folder 24 UC Berkeley; Math 290, 1995 carton 6, folder 25 UC Berkeley; Math 290, 1998 carton 6, folder 26 UC Berkeley; Math 290, 1998 carton 6, folder 27 UC Berkeley; Math 290, 1999 carton 6, folder 28 UC Berkeley; Math 290, 2003 carton 6, folder 29 UC Berkeley; Math 290, 2004 carton 6, folder 30 UC Berkeley; Math 290, 2007 carton 6, folder 31 UC Berkeley; What is an Operator?, 1971 carton 6, folder 32 UC Berkeley; What is a Von Neumann Algebra?, 1971 carton 6, folder 34 UC Berkeley; Hoffman, Michael J.; Notes on Arveson Lecture, 1973 carton 6, folder 34 UC Berkeley; Lectures on Compact Perturbations, 1975 carton 6, folder 35 UC Berkeley; On Getting A=T+K, TE Continuous Nest Algebra, 1977-1978 carton 6, folder 36 UC Berkeley; Hilbert Cross Norms on Operators, 1978 carton 6, folder 37 UC Berkeley; Moore-Rieffel, oo-Dimensional Groups Seminars, 1978 carton 6, folder 38 UC Berkeley; Operator Algebras Seminars, circa 1980s carton 6, folder 39 UC Berkeley; Eigenvalues, 1992 carton 6, folder 30 UC Berkeley; C(H) Stuff, 1997 carton 6, folder 41 Aarhus University, Denmark, 1973-1974 carton 6, folder 42 Aarhus University, Denmark, 1974 Series 5 Departmental Files 1972-2003 Physical Description: carton 6, folders 43-49 Scope and Content Note UCB Departmental files contain administrative information such as qualifying exams, admissions, personnel committee notes, teaching evaluations and information on international exchange scholars. Professor Arveson acted in the role of faculty associate supporting international exchange scholars such as Rajendra Bhatia of India.

carton 6, folder 43 UC San Diego; Math Department Professor, 1975

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carton 6, folder 44 UC Berkeley; Admissions, Ph.D. Candidates, 1988-1992 carton 6, folder 45 UC Berkeley; Bhatia, Rajendra; Council for International Exchange of Scholars, 1979-1984 carton 6, folder 46 UC Berkeley; Personnel Committee, 1984-1985 carton 6, folder 47 UC Berkeley; Qualifying Exams, 1978-1999 carton 6, folder 48 UC Berkeley; Teaching Points, 1976-1984 carton 6, folder 49 UC Berkeley; Teaching Evaluations, 1972-2003 Series 6 Professional Files 1967-2000 Physical Description: carton 6, folders 50-56; carton 7, folders 1-33 Scope and Content Note Professional Files contain requests from the American Mathematical Society to Professor Arveson to arrange special sessions and give lectures and presentations on operator theory. Also documented are the annual joint Summer Research Conferences put on by the American Mathematical Society (AMS), the Institute of Mathematical Statistics (IMS) and the Society for Industrial and Applied Mathematics (SIAM). In addition, Professional Files contain publishing and royalties’ information, as well as grants and fellowships awarded to Professor Arveson by the Guggenheim Memorial Foundation, the Miller Institute for Basic Research in Science and the National Science Foundation. Professor Arveson was the principal investigator for grants from the National Science Foundation during most of his career at Berkeley. Arveson served as National Research Council Research Fellow in 1971 at the University of Newcastle, England. He served as a Visiting Professor at Aarhus University in Denmark during 1973-1974, and at the University of California, San Diego in 1974-1975. He won a Guggenheim Fellowship for 1976-1977, and in 1985-1986 and 1999-2000 he held a prestigious Miller Professorship at the University of California, Berkeley. Professor Arveson served the mathematics community as editor of several major journals. His positions included Principal Editor of the Journal of Operator Theory, Consulting Editor of the Journal of the Edinburgh Mathematical Society, Associate Editor of the Bulletin of the American Mathematical Society, and Associate Editor of the Duke Mathematical Journal. He also served a term as treasurer of the Pacific Journal of Mathematics.

carton 6, folder 50 American Mathematical Society, 1974-1975 carton 6, folder 51 American Mathematical Society, Quasitriangular Operator Algebras, 1981-1983 carton 6, folder 52 American Mathematical Society, 1985-1986 carton 6, folder 53 American Mathematical Society, 1987 carton 6, folder 54 American Mathematical Society, 1987 carton 6, folder 55 American Mathematical Society, 1987 carton 6, folder 56 American Mathematical Society, 1987 carton 7, folder 1 American Mathematical Society, 1987 carton 7, folder 2 American Mathematical Society, 1988 carton 7, folder 3 American Mathematical Society, 1991 carton 7, folder 4 AMS-IMS-SIAM, Summer Research Conference, 1986-1987 carton 7, folder 5 AMS-IMS-SIAM, Summer Research Conference, 1987 carton 7, folder 6 AMS-IMS-SIAM, Summer Research Conference, 1987-1988 carton 7, folder 7 AMS-IMS-SIAM, Summer Research Conference, 1988 carton 7, folder 8 AMS-IMS-SIAM, Summer Research Conference, 1988 carton 7, folder 9 AMS-IMS-SIAM, Summer Research Conference, 1988-1989

Editorial Correspondence

carton 7, folder 10 Duke Mathematical Journal, 1975-1985 carton 7, folder 11 Miscellany, undated carton 7, folder 12 Pacific Journal of Mathematics, 1978 carton 7, folder 13 Pitman Publishing Limited, 1978-1980 carton 7, folder 14 Springer-Verlag Publishing, 1975-1981 carton 7, folder 15 University of Michigan Mathematical Reviews, 1979 carton 7, folder 16 Guggenheim Memorial Foundation, 1976 carton 7, folder 17 Miller Institute, 1998-1999

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Grants and Fellowships

carton 7, folder 18 National Science Foundation, 1967 carton 7, folder 19 National Science Foundation, 1977-1979 carton 7, folder 20 National Science Foundation, 1979-1981 carton 7, folder 21 National Science Foundation, 1982-1983 carton 7, folder 22 National Science Foundation, 1983-1984 carton 7, folder 23 National Science Foundation, 1985 carton 7, folder 24 National Science Foundation, 1986-1987 carton 7, folder 25 National Science Foundation, 1988 carton 7, folder 26 National Science Foundation, 1988-1989 carton 7, folder 27 National Science Foundation, 1989 carton 7, folder 28 National Science Foundation, 1990-1992 carton 7, folder 29 National Science Foundation, 1992 carton 7, folder 30 National Science Foundation, 1993-1994 carton 7, folder 31 National Science Foundation, 1994 carton 7, folder 32 National Science Foundation, 1995-1998 carton 7, folder 33 National Science Foundation, 2000 Series 7 Research Files 1974-2006 Physical Description: carton 7, folders 34-55; carton 8; carton 9, folders 1-18 Scope and Content Note The Research files are quite extensive and wide-ranging, dating from 1974-2006. Professor Arveson’s primary interests were in functional analysis and operator algebras, as spearheaded by the famous John Von Neumann. The basic theory of two classes of such algebras, called C*- algebras and Von Neumann algebras both possess a property called self-adjointness. Professor Arveson set out to develop a theory of such algebras, and much of his early work focused on this project establishing him as a world leader in this area.

carton 7, folder 34 Strongly Amenable C*-Algebras (P.E. Johnson's paper), undated carton 7, folder 35 Nonlinear Processes I, undated carton 7, folder 36 (Erling) Stormer's Lecture on Conne's Thesis, 1974 carton 7, folder 37 Kiskimoto's Argument, 1989 carton 7, folder 38 Eigenvalues Research, 1991-1992 carton 7, folder 39 Tridiagonal Matrix (1 of 2), 1991-1992 carton 7, folder 40 Tridiagonal Matrix (2 of 2), 1992-1993 carton 7, folder 41 Reshetikhin - Nicolai Problem, 1992 carton 7, folder 42 Shadows of Unitaries, 1992 carton 7, folder 43 Feldman's Problem, 1993 carton 7, folder 44 Signature Theory for Operators and Quadratic Forms, 1993 carton 7, folder 45 Inertia Theory for Matrices, 1992-1993 carton 7, folder 46 Elliptic Maps, 1992-1993 carton 7, folder 47 Davidson, Douglas Question, 1993 carton 7, folder 48 Geller, William Problem, 1993 carton 7, folder 49 Momentum and Schwinger's Hd, 1993 carton 7, folder 50 Completion of H to XH, 1993 carton 7, folder 51 Eo-Wold, 1994 carton 7, folder 52 Log (E): (1 of 2), 1994 carton 7, folder 53 Log (E): (2 of 2), 1994 carton 7, folder 54 New C*IE, 1993-1994 carton 7, folder 55 Path Space, 1994 carton 8, folder 1 Quantum Markov Process, 1994 carton 8, folder 2 Elliptic Maps, 1994 carton 8, folder 3 Decomposability Paper (1 of 2), 1994 carton 8, folder 4 Decomposability Paper (2 of 2), 1994 carton 8, folder 5 Commuting N-Tuples, 1995 carton 8, folder 6 Cocycle Approach to Constructing E's (unsuccessful), 1995 carton 8, folder 7 Dilations and Invariant States, 1995

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carton 8, folder 8 Moment Polynomials, 1995 carton 8, folder 9 A-Morphisms, 1995 carton 8, folder 10 A-Morphisms, 1995 carton 8, folder 11 Signature Theory, 1995 carton 8, folder 12 Deficiency Modules, 1995 carton 8, folder 13 CP(M),M=von Neumann Algebra, 1995 carton 8, folder 14 Math Notes, 1994 carton 8, folder 15 Math Notes: Group A: (1 of 7), 1995 carton 8, folder 16 Math Notes: Group A: (2 of 7), 1995 carton 8, folder 17 Math Notes: Group A: (3 of 7), 1995 carton 8, folder 18 Math Notes: Group A: (4 of 7), 1995 carton 8, folder 18 Math Notes: Group A: (5 of 7), 1995 carton 8, folder 20 Math Notes: Group A: (6 of 7), 1995 carton 8, folder 21 Math Notes: Group A: (7 of 7), 1995 carton 8, folder 22 Math Notes: Group B: (1 of 7), 1995 carton 8, folder 23 Math Notes: Group B: (2 of 7), 1995 carton 8, folder 24 Math Notes: Group B: (3 of 7), 1995 carton 8, folder 25 Math Notes: Group B: (4 of 7), 1995 carton 8, folder 26 Math Notes: Group B: (5 of 7), 1995 carton 8, folder 27 Math Notes: Group B: (6 of 7), 1995 carton 8, folder 28 Math Notes: Group B: (7 of 7), 1995 carton 8, folder 29 Math Notes: Group C: (1 of 2), 1978-1989 carton 8, folder 30 Math Notes: Group C: (2 of 2), 1989-2001 carton 8, folder 31 Math Notes, 2001 carton 8, folder 32 Half-Foms, 1995 carton 8, folder 33 Dominant Metrics on Operators, 1995 carton 8, folder 34 Submorphisms and the Construction Lim Ep, 1995 carton 8, folder 35 Minimality, 1995 carton 8, folder 36 On ∆'CA), 1995 carton 8, folder 37 Elliptic Operator Maps, 1995 carton 8, folder 38 Symbols, 1995 carton 8, folder 39 Interactions and Histories, 1995 carton 8, folder 40 Quantum Processes: Differential Structures, 1995 carton 8, folder 41 Cocycle-conjugate, 1995 carton 8, folder 42 Modular Cohomology, 1995 carton 8, folder 43 Matrix N.C. Geometry, 1996 carton 8, folder 44 Single Completely Positive Maps, 1996 carton 8, folder 45 Mixing, 1995-1996 carton 8, folder 46 Path Functional of the Weyl Process, 1996 carton 8, folder 47 Ergodicity of CP flows on )Nn(O), 1996 carton 8, folder 48 Weyl Flow (1 of 2), 1996 carton 8, folder 49 Weyl Flow (2 of 2), 1996-2000 carton 8, folder 50 Operator Theory: Maps:, 1995-1997 carton 8, folder 51 von Neumann, John: Information, 1995-1997 carton 8, folder 52 ∃ Dilations, Reflexivity, 1997 carton 8, folder 53 Energy of a d-contraction (1 of 2), 1997 carton 9, folder 1 Energy of a d-contraction (2 of 2), 1997 carton 9, folder 2 Category Theory-Lifting, 1997 carton 9, folder 3 Homology, 1997 carton 9, folder 4 Joint Spectrums, 1997 carton 9, folder 5 Fredholm Modules, 1997 carton 9, folder 6 H2 Stuff-Good Estimates, 1997 carton 9, folder 7 The Bundle Invariant (questionable value), 1998 carton 9, folder 8 On H2(M),ME mod; Maximal Norms, 1998 carton 9, folder 9 The Synergy Theorems, Hilbert Modules, 1998 carton 9, folder 10 Quantized Varieties, 1998 carton 9, folder 11 On Powers' Construction, 1998-1999 carton 9, folder 12 Thesis Problem Ideas, 1998

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carton 9, folder 13 Mathematical Formulas, 1999 carton 9, folder 14 Fredholm Dirac Operators, 1999-2001 carton 9, folder 15 Domain Algebra, 2000 carton 9, folder 16 Compact Self Commutators, 2001 carton 9, folder 17 Noncommutative Dynamics, 2006 carton 9, folder 18 Standard Hilbert Modules: The Fredholm Property, 2006 Series 8 Biographical Materials 1939-2012 Physical Description: carton 9, folders 19-26 Scope and Content Note Biographical materials include Professor Arveson’s curriculum vitae, his dissertation titled “Prediction Theory and Group Representations” (1964), biographical sketches, memorial essays, and a photograph album beginning with Professor Arveson as a young boy in Oakland in 1939, progressing through his life as a professor and lecturer. The last photographs date from 2007.

carton 9, folder 19 Biographical Sketches, 2012 carton 9, folder 20 Biography and Curriculum Vitae, 1988, 2011 carton 9, folder 21 Dissertation: "Prediction Theory and Group Representations", 1964 carton 9, folder 22 Faculty Website Printout, 2012 carton 9, folder 23 Mathematics Genealogy Project, 2012 carton 9, folder 24 Memorial Service Pamphlet, 2012 carton 9, folder 25 Memorial Essays, 2012 carton 9, folder 26 Photograph Album, 1939-2007

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