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Geometric Aspects of Functional Analysis

Israel Seminar 2002-2003

  • Book
  • © 2004

Overview

Authors:
  1. Vitali D. Milman
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  2. Gideon Schechtman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1850)

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Table of contents (21 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. A Topological Obstruction to Existence of Quaternionic Plücker Map

    • S. Alesker
    Pages 1-7

  3. Hard Lefschetz Theorem for Valuations and Related Questions of Integral Geometry

    • S. Alesker
    Pages 9-20

  4. SU(2)-Invariant Valuations

    • S. Alesker
    Pages 21-29

  5. The Change in the Diameter of a Convex Body under a Random Sign-Projection

    • S. Artstein
    Pages 31-39

  6. An Elementary Introduction to Monotone Transportation

    • K. Ball
    Pages 41-52

  7. A Continuous Version of the Brascamp-Lieb Inequalities

    • F. Barthe
    Pages 53-63

  8. Inverse Brascamp-Lieb Inequalities along the Heat Equation

    • F. Barthe, D. Cordero-Erausquin
    Pages 65-71

  9. Pinched Exponential Volume Growth Implies an Infinite Dimensional Isoperimetric Inequality

    • I. Benjamini, O. Schramm
    Pages 73-76

  10. On Localization for Lattice Schrödinger Operators Involving Bernoulli Variables

    • J. Bourgain
    Pages 77-99

  11. Symmetrization and Isotropic Constants of Convex Bodies

    • J. Bourgain, B. Klartag, V. Milman
    Pages 101-115

  12. On the Multivariable Version of Ball’s Slicing Cube Theorem

    • E. Gluskin
    Pages 117-121

  13. Geometric Probability and Random Cotype 2

    • E. Gluskin, V. Milman
    Pages 123-138

  14. Several Remarks Concerning the Local Theory of L p Spaces

    • W. B. Johnson, G. Schechtman
    Pages 139-148

  15. On John-Type Ellipsoids

    • B. Klartag
    Pages 149-158

  16. Isomorphic Random Subspaces and Quotients of Convex and Quasi-Convex Bodies

    • A. E. Litvak, V. D. Milman, N. Tomczak-Jaegermann
    Pages 159-178

  17. Almost Euclidean Subspaces of Real with p an Even Integer

    • Yu I. Lyubich
    Pages 179-192

  18. Geometric Parameters in Learning Theory

    • S. Mendelson
    Pages 193-235

  19. Essential Uniqueness of an M-Ellipsoid of a Given Convex Body

    • V. D. Milman, A. Pajor
    Pages 237-241

  20. On the Thermodynamic Limit for Disordered Spin Systems

    • L. Pastur
    Pages 243-268
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About this book

The Israeli GAFA seminar (on Geometric Aspect of Functional Analysis) during the years 2002-2003 follows the long tradition of the previous volumes. It reflects the general trends of the theory. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis. In addition the volume contains papers on related aspects of Probability, classical Convexity and also Partial Differential Equations and Banach Algebras. There are also two expository papers on topics which proved to be very much related to the main topic of the seminar. One is Statistical Learning Theory and the other is Models of Statistical Physics. All the papers of this collection are original research papers.

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