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Geometrical Aspects of Functional Analysis

Israel Seminar, 1985-86

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Joram Lindenstrauss
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  2. Vitali D. Milman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1267)

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Table of contents (17 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Monotonicity of the volume of intersection of balls

    • M. Gromov
    Pages 1-4

  3. On lattice packing of convex symmetric sets in ℜn

    • J. Bourgain
    Pages 5-12

  4. Diameter of a minimal invariant subset of equivariant lipschitz actions on compact subsets of ℝ k

    • V. D. Milman
    Pages 13-20

  5. The relation between the distance and the weak distance for spaces with a symmetric basis

    • Joram Lindenstrauss, Andrzej Szankowski
    Pages 21-38

  6. Complements of subspaces of ℓ n p ; p ≥1 which are uniquely determined

    • J. Bourgain, L. Tzafriri
    Pages 39-52

  7. Embedding X m p spaces into ℓ n r

    • Gideon Schechtman
    Pages 53-74

  8. Some remarks on Urysohn's inequality and volume ratio of cotype 2-spaces

    • V. D. Milman
    Pages 75-81

  9. On the covering numbers of convex bodies

    • Hermann König, Vitali D. Milman
    Pages 82-95

  10. On a theorem of J. Bourgain on finite dimensional decompositions and the radon-nikodym property

    • W. Schachermayer
    Pages 96-112

  11. Sudakov type inequalities for convex bodies in IR n

    • V. D. Milman, N. Tomczak-Jaegermann
    Pages 113-121

  12. An application of infinite dimensional holomorphy to the geometry of banach spaces

    • Jonathan Arazy
    Pages 122-150

  13. A density condition for analyticity of the restriction algebra

    • J. Bourgain
    Pages 151-156

  14. Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms

    • J. Bourgain
    Pages 157-167

  15. On dimension free maximal inequalities for convex symmetric bodies in ℜn

    • J. Bourgain
    Pages 168-176

  16. On lipschitz embedding of finite metric spaces in low dimensional normed spaces

    • William B. Johnson, Joram Lindenstrauss, Gideon Schechtman
    Pages 177-184

  17. Random series in the real interpolation spaces between the spaces v p

    • Gilles Pisier, Quanhua Xu
    Pages 185-209

  18. Cotype of the spaces (A 0, A 1)θ1

    • Quanhua Xu
    Pages 210-212
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Keywords

About this book

These are the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 1986. The main emphasis of the seminar was on the study of the geometry of Banach spaces and in particular the study of convex sets in and infinite-dimensional spaces. The greater part of the volume is made up of original research papers; a few of the papers are expository in nature. Together, they reflect the wide scope of the problems studied at present in the framework of the geometry of Banach spaces.

Bibliographic Information

  • Book Title: Geometrical Aspects of Functional Analysis

  • Book Subtitle: Israel Seminar, 1985-86

  • Editors: Joram Lindenstrauss, Vitali D. Milman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078130

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18103-3Published: 10 July 1987

  • eBook ISBN: 978-3-540-47771-6Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 212

  • Topics: Analysis

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