Geometric Aspects of Functional Analysis Israel Seminar 2001-2002

The proceedings of the Israeli GAFA seminar on Geometric Aspect of Functional Analysis during the years 2001-2002 follow the long tradition of the previous volumes. They continue to reflect the general trends of the Theory. Several papers deal with the sl

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3 Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo

V. D. Milman

G. Schechtman

(Eds.)

Geometric Aspects of Functional Analysis Israel Seminar 2001--2002

2001--2002

13

Editors Vitali D. Milman Department of Mathematics Tel Aviv University Ramat Aviv 69978 Tel Aviv Israel e-mail: [email protected] Gideon Schechtman Department of Mathematics The Weizmann Institute of Science P.O. Box 26 76100 Rehovot Israel e-mail: [email protected] http://www.wisdom.weizmann.ac.il/˜gideon

Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de

Mathematics Subject Classification (2000): 46-06, 46B07, 52-06 60-06 ISSN 0075-8434 ISBN 3-540-00485-8 Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specif ically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microf ilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag Berlin Heidelberg New York a member of BertelsmannSpringer Science + Business Media GmbH http://www.springer.de c Springer-Verlag Berlin Heidelberg 2003  Printed in Germany The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specif ic statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Camera-ready TEX output by the author SPIN: 10904442

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Preface

During the last two decades the following volumes containing the proceedings of the Israel Seminar in Geometric Aspects of Functional Analysis appeared 1983-1984 1985-1986 1986-1987 1987-1988 1989-1990 1992-1994 1994-1996 1996-2000

Published privately by Tel Aviv University Springer Lecture Notes, Vol. 1267 Springer Lecture Notes, Vol. 1317 Springer Lecture Notes, Vol. 1376 Springer Lecture Notes, Vol. 1469 Operator Theory: Advances and Applications, Vol. 77, Birkhauser MSRI Publications, Vol. 34, Cambridge University Press Springer Lecture Notes, Vol. 1745.

Of these, the first six were edited by Lindenstrauss and Milman, the seventh by Ball and Milman and the last by the two of us. As in the previous volumes, the current one reflects general trends of the Theory. The connection between Probability and Convexity continues to broaden and deepen and a number of papers of this collection reflect this fact. There is a renewed interest (and hope