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© 1991

Functional Analysis

Proceedings of the Seminar at the University of Texas at Austin 1987–89

  • Editors
  • Edward E. OdwellJr.
  • Haskell P. Rosenthal
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 1470)

Table of contents

  1. Front Matter
    Pages N2-V
  2. William B. Johnson, Gideon Schechtman
    Pages 72-77
  3. Helmut Knaust, Edward Odell
    Pages 85-107
  4. H. P. Rosenthal, S. J. Szarek
    Pages 108-132
  5. Thomas Schlumprecht
    Pages 133-158
  6. Fouad Chaatit
    Pages 183-199
  7. Back Matter
    Pages 201-205

About these proceedings

Introduction

The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. With contributions by: R. Haydon, E. Odell, H. Rosenthal: On certain classes of Baire-1 functions with applications to Banach space theory.- K. Ball: Normed spaces with a weak-Gordon-Lewis property.- S.J. Szarek: On the geometry of the Banach-Mazur compactum.- P. Wojtaszczyk: Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- N. Ghoussoub, W.B. Johnson: Operators which factor through Banach lattices not containing co.- W.B. Johnson, G. Schechtman: Remarks on Talagrand's deviation inequality for Rademacher functions.- M. Zippin: A Global Approach to Certain Operator Extension Problems.- H. Knaust, E. Odell: Weakly null sequences with upper lp-estimates.- H. Rosenthal, S.J. Szarek: On tensor products of operators from Lp to Lq.- T. Schlumprecht: Limited Sets in Injective Tensor Products.- F. Räbiger: Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- D.H. Leung: Embedding l1 into Tensor Products of Banach Spaces.- P. Hitczenko: A remark on the paper "Martingale inequalities in rearrangement invariant function spaces" by W.B. Johnson, G. Schechtman.- F. Chaatit: Twisted types and uniform stability.

Keywords

Banach Space Banach spaces Banach-Räume Fourier series Fourier-Reihe calculus convex bodies differential equation functional analysis probability theory in Banach spaces tensor products of operators

Bibliographic information

  • Book Title Functional Analysis
  • Book Subtitle Proceedings of the Seminar at the University of Texas at Austin 1987–89
  • Editors Edward E., Jr. Odell
    Haskell P. Rosenthal
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0090208
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-54206-3
  • eBook ISBN 978-3-540-47493-7
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 208
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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