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Geometric Aspects of Functional Analysis

Israel Seminar 2001-2002

  • Book
  • © 2003

Overview

Editors:
  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 1807)

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. A Note on Simultaneous Polar and Cartesian Decomposition

    • F. Barthe, M. Csörnyei, A. Naor
    Pages 1-19

  3. Approximating a Norm by a Polynomial

    • Alexander Barvinok
    Pages 20-26

  4. Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients

    • S. G. Bobkov
    Pages 27-36

  5. Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures

    • S. G. Bobkov
    Pages 37-43

  6. On the Central Limit Property of Convex Bodies

    • S. G. Bobkov, A. Koldobsky
    Pages 44-52

  7. On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis

    • S. G. Bobkov, F. L. Nazarov
    Pages 53-69

  8. Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena

    • J. Bourgain
    Pages 70-98

  9. On Long-Time Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential

    • J. Bourgain
    Pages 99-113

  10. On the Isotropy-Constant Problem for “PSI-2”-Bodies

    • J. Bourgain
    Pages 114-121

  11. On the Sum of Intervals

    • E. D. Gluskin
    Pages 122-130

  12. Note on the Geometric-Arithmetic Mean Inequality

    • E. Gluskin, V. Milman
    Pages 131-135

  13. Supremum of a Process in Terms of Trees

    • Olivier Guédon, Artem Zvavitch
    Pages 136-147

  14. Point Preimages under Ball Non-Collapsing Mappings

    • Olga Maleva
    Pages 148-157

  15. Some Remarks on a Lemma of Ran Raz

    • Vitali Milman, Roy Wagner
    Pages 158-168

  16. On the Maximal Perimeter of a Convex Set in \(\mathbb{R}^n\) with Respect to a Gaussian Measure

    • Fedor Nazarov
    Pages 169-187

  17. On p-Pseudostable Random Variables, Rosenthal Spaces and l p n Ball Slicing

    • Krzysztof Oleszkiewicz
    Pages 188-210

  18. \(\Psi_2\)-Estimates for Linear Functionals on Zonoids

    • G. Paouris
    Pages 211-222

  19. Maximal \(\ell_p^n\)-Structures in Spaces with Extremal Parameters

    • G. Schechtman, N. Tomczak-Jaegermann, R. Vershynin
    Pages 223-240

  20. Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body

    • Carsten Schütt, Elisabeth Werner
    Pages 241-422
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About this book

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 slicing problem and its relatives. Some deal with the concentration phenomenon and related topics. In many of the papers there is a deep interplay between Probability and Convexity. The volume contains also a profound study on approximating convex sets by randomly chosen polytopes and its relation to floating bodies, an important subject in Classical Convexity Theory. All the papers of this collection are original research papers.

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