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OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 14, NUMBER 2 ISSUE No. 96 FEBRUARY, 1967 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings • • • • • • • • • • • • • • • • • • • • • . • • • • • . • • • • • • • • 204 Program of the February Meeting in New York ••••••••.•••••••••• 205 Abstracts for the Meeting - 241-249 PRELIMINARY ANNOUNCEMENTS OF MEETINGS. • • • • • . • . • . • • . • • . • • • 208 ACTIVITIES OF OTHER ASSOCIATIONS. • • • • • • • . • • • • . • • • . • . • • • • • • . 212 LETTERS TO THE EDITOR. • • • • • • • • • • • • • • • . • • • . • • . • • . • • • • • • . • 213 SUMMER INSTITUTES FOR COLLEGE TEACHERS • • • • • • • • • • . • . • • • • • • . 214 NEWS ITEMS AND ANNOUNCEMENTS ••••••.••••••..•••••.•••• 215, 233 SUMMER INSTITUTES AND GRADUATE COURSES. • • . • . • . • • • . • • . • . 218 PERSONAL ITEMS • • • • • • • • • • • . • • • • • • • • • • • • • • • . • • . • • . • • • • • • • • 229 MEMORANDA TO MEMBERS Backlog of Mathematical Journals .••••.••••••••• , •••••••••••• 234 SUPPLEMENTARY PROGRAM-Number 44 •••••••••••••••••..••.••..• 235 ABSTRACTS OF CONTRIBUTED PAPERS. • • • • • • • • • • • . • . • • • • • • • • • • • • 241 RESERVATION FORMS....................................... 310 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 ctfoticeiJ 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• 644 April 5-8, 1967 New York, New York Feb. 20 645 April 14-15, 1967 Chicago, Illinois Feb. 20 646 April 22, 1967 San jose, California Feb. 20 647 june 17, 1967 Missoula, Montana May 4 August 28-September 1, 1967 Toronto, Canada (72nd Summer Meeting) january 23-27, 1968 San Francisco, California (74th Annual Meeting) August 26-30, 1968 Madison, Wisconsin (73rd Sum mer Meeting) january, 1969 New Orleans, Louisiana (75th Annual Meeting) August 25-29, 1969 Eugene, Oregon (74th Summer Meeting) January 22-26, 1970 Miami, Florida (76th 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 deadline dates for the by title abstracts are February 13, and April 27, 1967. The ctfoticeiJ 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 $12.00. Price per copy $2.00. 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.O. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 34,21, P: L. and R.). Accepted for mailing at the special rate of Postage provided for in section 34,40, paragraph (d). Copyright © 1967 by the American Mathematical Society Printed in the United States of America 204 Six Hundred Forty-Third Meeting City College New York, New York February 25, 196 7 PROGRAM The six hundred forty-third meeting Shepard Hall is two blocks east of of the American Mathematical Society will the !37th Street Station of the IRT subway be held at City College on Saturday, Febru­ (the Broadway-7th Avenue Line, not the ary 25, 1967, All sessions will be in 7th Avenue Line). Also it is one block west Shepard Hall. and five blocks south of the 145th Street By invitation of the Committee to Station of the IND subway (8th Avenue Select Hour Speakers for Eastern Sectional Line "A" train or 6th A venue Line "D" Meetings there will be an address by Pro­ train from mid-town New York). fessor Monroe D. Donsker of New York Buses marked "Broadway-230th University in Room 306 at 2:00 p.m. The Street" or "F art George" may be taken from title of his lecture is "Asymptotic evalua­ the !25th Street Station of the New Haven tion of function space integrals," or New York Central Railroad. Riders There will be sessions for contribu­ should get off at !38th Street and walk east ted papers at 10:00 a.m. and at 3:15p.m. one block to Convent Avenue. The registration desk will be located Persons who expect to travel by in Shepard Hall at Convent A venue and automobile may write to the Department of !39th Street. It will be open from 9:00 a.m. Mathematics, City College, New York, New till 3:30p.m. York 10031, before the meeting date, re­ Lunch will be available in a college questing a one-day campus parking permit cafeteria. This may be almost the only and directions to the parking area, place in the immediate vicinity for lunch. PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes, The contributed papers are scheduled at 15 minute intervals. To maintain this schedule, the time limit will be strictly enforced, SATURDAY, 10:00 A.M. Session on Analysis I, 306 Shepard Hall 10:00-10:10 ( 1) Geometry of Banach algebras Mr. I. N. Spatz, Polytechnic Institute of Brooklyn (643-15) 10:15-10:25 (2) On the continuity and measurability of certain transformation groups Professor R. E. Atalla, Ohio University (643-9) * For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 205 10;30-10:40 (3) Trace class for an arbitrary H*-algebra Professor P. P. Saworotnow*, The Catholic University of America, and Professor j. C. Friedell, Loras College (643-17) 10:45-10:55 (4) Approximation theory on SU(2) with applications to Fourier analysis. Prelim­ inary report Mr. D. L. Ragozin, Harvard University (643-5) 11:00-11:10 ( 5) A functional calculus in Hilbert space based on operator valued analytic func­ tions Mr. P. A. Fuhrmann, Columbia University (643-19) 11:15-11:25 (6) Sums of deficiencies of entire functions Professor Albert Edrei, Syracuse University (643-23) SATURDAY, 10:00 A.M. Session on Logic, Algebra and Combinatorics, 315 Shepard Hall 10:00-10:10 (7) Simplified tree proofs in modal logic. Preliminary report Professor F. B. Fitch, Yale University (643-22) 10:15-10:25 (8) Some strengthenings of the Ulam nonmeasurability condition Professor Stanislaw Mr6wka, Pennsylvania State University (643-20) 10:30-10:40 ( 9) On semigroups embeddable in their endomorphism semigroup Professor L. M. Chawla* and Professor F. A. Smith, University of Florida (643-14) 10:45-10:55 ( 1 O) Inequalities in the formula of inclusion and exclusion for an additive set-function Professor H. J. Cohen, City University of New York, City College (643-18) 11:00-11:10 ( 11) Partially direct sum of inequality groups Professor Y. Kuo, The University of Tennessee (643-21) 11:15-11:25 (12) Some remarks on the Vander Waerden conjecture Dr. P. J. Eberlein, University of Rochester (643-3) SATURDAY, 2:00 P.M. Invited Address, 306 Shepard Hall Asymptotic evaluation of function space integrals Professor Monroe D. Donsker, New York University SATURDAY, 3:15P.M. Session on Analysis II, 306 Shepard Hall 3:15-3:25 ( 13) Periodic and almost periodic solutions of parabolic equations Professor Arnold Stokes, Georgetown UniversitY. and Mr. Carl Kallina*, Howard University (643-11) 3:30-3:40 ( 14) The first initial boundary value problem for quasilinear parabolic equations Dr. N. S. Trudinger, New York University (643-2) 206 3:45-3:55 ( 15) The range of the (n + 1) st moment for distributions on I o,l) Dr. Morris Skibinsky, Brookhaven National Laboratory, Upton, New York (643-12) 4:00-4:10 ( 16) Integration of operator-valued functions with respect to orthogonal volumes in Hilbert spaces Professor Witold Bogdanowicz and Professor john Welch*, The Catholic University of America (643-4) 4:15-4:25 ( 17) Integral representation of complete integral seminorms Professor Witold Bogdanowicz, The Catholic University of America (643-10) 4:30-4:40 ( 18) Derivatives of solutions of linear differential equations Mr. L. H. Haines, University of California, Berkeley (643-24) (Introduced by R. M •. Solovay) SATURDAY, 3:15P.M. Session on Topology, 315 Shepard Hall 3:15-3:25 ( 19) On monomorphisms in homotopy theory Professor Tudor Ganea, University of Washington (643-6) 3:30-3:40 (20) Metric dimension and equivalent metrics Professor J, H. Roberts* and Dr. F. G. Slaughter, Jr., Duke University ( 643 -16) 3:45-3:55 (21) Note on metric-dependent dimension functions Dr. R. E. Hodel, Duke University (643-13) 4:00-4:10 (22) Function spaces and the Aleksandrov-Urysohn conjecture Professor P. R. Meyer, City University of New York, Hunter College (643-8) 4:15-4:25 (23) The radical of topological abelian groups Professor K. C. Ha, University of South Florida (643-7) 4:30-4:40 (24) The proximal relation in coset transformation groups Professor H. B. Keynes, University of California, Santa Barbara (643-1) Herbert Federer Providence, Rhode Island Associate Secretary 207 PRELIMINARY ANNOUNCEMENTS OF MEETINGS Six Hundred Forty-Fourth Meeting Americana of New York New York, New York April 5·8, 1967 The six hundred forty-fourth meet­ matical Society and the Society for Indus­ ing of the American Mathematical Society trial and Applied Mathematics, whose mem­ will be held at the Americana of New York bership at the time consisted of Professors in New York City on April 5-8, 1967. V. Bargmann, Garrett Birkhoff, G. E. For­ By invitation of the Committee to sythe, C.
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