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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 1986-87

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Joram Lindenstrauss
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    You can also search for this editor in PubMed   Google Scholar

  2. Vitali D. Milman
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1317)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. The invariant subspace problem on a class of nonreflexive Banach spaces, 1

    • C. J. Read
    Pages 1-20

  3. Approximational complexity of functions

    • Y. Yomdin
    Pages 21-43

  4. Minkowski sums and symmetrizations

    • J. Bourgain, J. Lindenstrauss, V. D. Milman
    Pages 44-66

  5. On two theorems of lozanovskii concerning intermediate Banach lattices

    • Shlomo Reisner
    Pages 67-83

  6. On Milman's inequality and random subspaces which escape through a mesh in ℝ n

    • Y. Gordon
    Pages 84-106

  7. Isomorphic symmetrization and geometric inequalities

    • V. D. Milman
    Pages 107-131

  8. Dimension, non-linear spectra and width

    • M. Gromov
    Pages 132-184

  9. Some useful facts about Banach spaces

    • J. Lindenstrauss
    Pages 185-200

  10. Homogeneous Banach spaces

    • William B. Johnson
    Pages 201-203

  11. An approach to pointwise ergodic theorems

    • J. Bourgain
    Pages 204-223

  12. Some remarks on the geometry of convex sets

    • Keith Ball
    Pages 224-231

  13. On finite dimensional homogeneous Banach spaces

    • J. Bourgain
    Pages 232-238

  14. Vector-valued hausdorff-young inequalities and applications

    • J. Bourgain
    Pages 239-249

  15. Projection bodies

    • J. Bourgain, J. Lindenstrauss
    Pages 250-270

  16. On a geometric inequality

    • J. Bourgain, M. Meyer, V. Milman, A. Pajor
    Pages 271-282

  17. A few observations on the connections between local theory and some other fields

    • V. D. Milman
    Pages 283-289
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Keywords

About this book

This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finite-dimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry.

Bibliographic Information

  • Book Title: Geometric Aspects of Functional Analysis

  • Book Subtitle: Israel Seminar (GAFA) 1986-87

  • Editors: Joram Lindenstrauss, Vitali D. Milman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0081732

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19353-1Published: 25 May 1988

  • eBook ISBN: 978-3-540-39235-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 290

  • Topics: Analysis, Geometry

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