Notices of the American Mathematical Society
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OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ••••• , •••••..••.•••.••.••••..••••.•• 1002 Program for the November Meeting in Baton Rouge, Louisiana • • • . • . • . 1003 Abstracts for the Meeting- Pages 1043-1057 Program for the November Meeting in Claremont, California • • • • • • . • 1009 Abstracts for the Meeting- Pages 1058-1061 Program for the November Meeting in Ann Arbor, Michigan 1012 Abstracts for the Meeting- Pages 1061-1075 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ..••..••.•. 1018 STARTING SALARIES FOR MATHEMATICIANS WITH A Ph. D ..•••••.••.•. 1026 DISMISSAL OF DO~TOR DUBINSKY .•.•••.•.•...•.••..••••••••... 1027 NEWS ITEMS AND ANNOUNCEMENTS •.•...•.......•.. 1008, 101I, 1017,1031 PERSO:--IAL ITEMS . • . • . • . • . • . • . • . • • . • . • • . • • • • . • • 1032 NEW AMS PUBLICATIO="'S •...••.....•...••••....•••.•••• 1033 MEMORANDA TO MSMBERS 1969 Summer Institute on Number Theory~ • . • . • • . • . • • • . • • • • . 1039 Abstracts . • . • • . • • . • • • . • • . • • • • • • • . • . • • • • • • • • . • . • 1039 Computing and Mathematics •.••.••..•.••••.•.••..•.•••.•.• 1040 Additional Audio Recording of Mathematical Lectures Available •..•..•• 1040 ACTIVITIES OF OTHER ASSOCIATIONS .........•...•.•••.•.•••.... 1040 VISITING MATHEMATICIANS ••..•.•.• 104I ABSTI\.ACTS OF CONTRIBUTED PAPERS . 1043 ERRATA .••••.•....•••.•••..• . 1095 INDEX TO ADVERTISERS ' 1107 RESERVATI0:--1 FORM .........•...•••..••.........•••.•.••.•• 1108 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the c}/otiaiJ was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet· Deadline ing Date Place for No. Abstracts• 672 january 22-26, 1970 San Antonio, Texas Nov. 6, 1969 673 March 25-28, 1970 New York, New York jan. 28, 1970 674 April 14-18, 1970 Madison, Wisconsin Feb. 27, 1970 675 April 2 5, 1970 Davis, California Feb. 27, 1970 August 24-28, 1970 Laramie, Wyoming (75th Summer Meeting) january 21-25, 1971 Atlantic City, New jersey (77th Annual Meeting) *The abstracts of papers to be presented in person at the meetings must be received in the Head quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead lines also apply to news items. The next two deadlines for by-title abstracts will be January 21, 1970· and February 2.0, 1970. OTHER EVENTS D·~cemher 2 7, 1969 Symposium on Some Mathematical Questions Boston, Massachusetts in Biology The cJVofiai) of the American Mathematical Society is published by the Society in January, February, April, June, August, October, November and December. Price per annual volume is $10.00. Price per copy $3.00. Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Copyright© , 1969 by the American Mathematical Society PriJited in the United States of America 1002 The Six Hundred Sixty-Ninth Meeting Louisiana State University Baton Rouge, Louisiana November 21-22, 1969 The six hundred and sixty-ninth meet Lockett Hall. A beer party at the Capitol ing of the American Mathematical Society House Hotel is planned for Friday evening. will be held at Louisiana State University Tickets for this may be purchased at the at Baton Rouge, Louisiana, November 21- time of registration. 22, 1969. Pleasant Hall is a university-owned Sessions for contributed papers will hotel located on campus within a five-minute be held in the designated rooms in Lockett walk of Lockett Hall. The accommodations Hall. The three invited addresses are sche are adequate but not luxurious. There are duled to be held in the auditorium in Lock about 95 rooms with private baths and 45 ett Hall. rooms with hall baths available. Rates are By invitation of the Committee to as follows: Select Hour Speakers, Professor Marvin With private bath $ 7.00 1 person Rosenblum of the University of Virginia, 10.00 2 persons Professor Swarupchand M. Shah of the Uni 12.00 3persons versity of Kentucky and Professor Nickolas Heerema of Florida State University will With hall bath 4.00 1 person present hour talks. The title of Professor 7.00 2 persons Shah 1 s talk will be "Univaient functions 9.00 3 persons with univalent derivatives"; the title of Make reservations at Pleasant Hall Professor Heerema 1 s talk will be "Higher Reservation Desk, Louisiana State Univer derivations and automorphisms ofcomplete sity, Baton Rouge, Louisiana 70803. local rings"; the title of Professor Rosen Additional accommodations, con blum 1 s talk will be "Shifts and Hilbert venient to the University, with approximate space factorization problems." driving times to the university are given The registration desk will be located below: in the basement of the Mathematics Build JACK TAR CAPITOL HOUSE HOTEL ing, Lockett Hall, where all sessions will ( 10 minutes) be held. Registration hours will be 9 a.m. Lafayette at Convention, Baton Rouge, La. to 5 p.m. Friday, November 21 and 9 a.m. 70821 to 12 noon Saturday, November 22. Single $ 9.00 to $15.00 Baton Rouge, which is approximately Double 12.00 to 19.00 75 miles northwest of New Orleans, is lo (two persons, 1 bed) cated on U.S. 61 and U.S. 190. It is served by Twin 14.00 to 19.00 Delta, Southern, and Trans-Texas Air (two persons, 2 beds) lines, and by Greyhound and Trailways Bus Companies. Passenger train service is PRINCE MURAT INN (5 minutes) extremely limited. From the New Orleans 1480 Nicholson Drive, Baton Rouge, La. Airport to the Baton Rouge campus is a 70821 drive of less than an hour and a half. Single $10.00 up Several persons might wish to rent a car Double 14.00 up (two beds) jointly at the airport and drive down. Meals and snacks will be available The following motels might not have at campus cafeterias and off-campus estab accommodations available for Saturday lishments. Coffee and doughnuts will be night because of a home football game, but served each morning in the basement of they do expect to have facilities available 1003 for Friday night. HOLIDAY INN-SOUTH (15 minutes) (Inter section of I-12 and U.S. 61) BATON ROUGE TRAVELODGE MOTEL 9940 Airline Highway, Baton Rouge, La. (10 minutes) 70821 427 Lafayette Street, Baton Rouge, La. Single $11,00 70821 Double 15,00 (two double beds) Single $11.50 ( $2.00 each additional person) Double 13,50 Reservations should be made directly (two persons, 1 bed) with Pleasant Hall, the hotel, or one of the Double 15,50 motels. It is suggested that reservations be (two persons, 2 beds) made as early as is practical. PROGRAM OF THE SESSIONS The time limit for each contributed paper is 10 minutes. The contributed papers are scheduled at 15 minute intervals. To maintain this schedule, the time limit will be strictly enforced. FRIDAY, 1:00 P.M. Invited Address, Lockett Hall Auditorium (Room B2) Shifts and Hilbert space factorization problems Professor Marvin Rosenblum, University of Virginia FRIDAY, 2:30P.M. Session on Algebra, Room Bl5, Lockett Hall 2:30-2:40 (1) Domains in which every ideal is a finite product of semiprime ideals. Preliminary report Professor Nick H. Vaughan, North Texas State University (669-24) 2:45-2:55 (2) R-endomorphisms of R[[X]} Professor Matthew O'Malley*, NASA Manned Spacecraft Center, Houston, and Professor Craig A. Wood, Oklahoma State University (669-22) 3:00-3:10 (3) The field of constants of an integral derivation on a p-adic field Professor Henry W. Thwing, Stetson University (669-17) (Introduced by Professor William A. LaBach) 3:15-3:25 (4) Higher derivations and inseparable Galois theory Professor Richard L. Davis, Louisiana State University (669-16) 3:30-3:40 ( 5) Quotient over rings of integral domains Professor William J, Heinzer, Louisiana State University (669-14) 3:45-3:55 (6) R-automorphisms of R [[X]] Professor Robert Gilmer, Florida State University (669-2) FRIDAY, 2:30 P.M. Session on Analysis, Room B5, Lockett Hall 2:30-2:40 ( 7) A note on power bounded operators Mr. Richard H. Bouldin, University of Georgia (669-7) *For papers with more than one author, an asterisk follows the name of the author who plans to presentthe paper at the meeting. 1004 2:45-2:55 (8) An extension of the Hausdorff-Young theorem. Preliminary report Professor Charles N. Kellogg, University of Kentucky (669-29) 3;00-3:10 (9) A functional integral for vector measures Mr. Daniel R. Lewis, Louisiana State University (669-36) (Introduced by Professor james R. Dorroh) 3;15-3:25 ( 1 0) Algebras of analytic functions. Preliminary report Professor Kenneth 0. Leland, Illinois Institute of Technology ( 669-40) 3;30-3:40 ( 11) Analyticity and quasi-analyticity of trajectories of semigroups of bounded linear transformations Professor John W. Neuberger, Emory University (669-41) 3:45-3:55 (12) A lattice of complete inner product spaces. Preliminary report Professor J. S. MacNerney, University of Houston (669-47) FRIDAY, 2:30 P.M. Session on Topology, Room B6, Lockett Hall 2;30-2;40 (13) Cellular mappings on three manifolds Mr. William E. Haver, State University of New York at Binghamton (669-39) (Introduced by Professor Louis F. McAuley) 2:45-2:55 ( 14) Strongly acyclic map between simply connected manifolds Professor R. Christopher Lacher, Florida State University ( 669-37) 3:00-3:10 (15) Absolute Z-sets Miss Jean Pollard, Louisiana State University (669-32) (Introduced by Professor Richard D. Anderson) 3;15-3:25 (16) Embeddings of !-dimensional compacta in En Professor John L.