Tsirelson's Space

With an Appendix by J. Baker, O. Slotterbeck and R. Aron

  • Authors
  • Peter G. Casazza
  • Thaddeus J. Shura

Part of the Lecture Notes in Mathematics book series (LNM, volume 1363)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Peter G. Casazza, Thaddeus J. Shura
    Pages 1-7
  3. Peter G. Casazza, Thaddeus J. Shura
    Pages 8-18
  4. Peter G. Casazza, Thaddeus J. Shura
    Pages 19-23
  5. Peter G. Casazza, Thaddeus J. Shura
    Pages 24-34
  6. Peter G. Casazza, Thaddeus J. Shura
    Pages 35-47
  7. Peter G. Casazza, Thaddeus J. Shura
    Pages 48-53
  8. Peter G. Casazza, Thaddeus J. Shura
    Pages 54-59
  9. Peter G. Casazza, Thaddeus J. Shura
    Pages 67-81
  10. Peter G. Casazza, Thaddeus J. Shura
    Pages 82-94
  11. Peter G. Casazza, Thaddeus J. Shura
    Pages 95-118
  12. Peter G. Casazza, Thaddeus J. Shura
    Pages 119-120
  13. Back Matter
    Pages 121-204

About this book

Introduction

This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are presented for the specialist. Bounded linear operators are studied through the use of finite-dimensional decompositions, and complemented subspaces are studied at length. A myriad of variant constructions are presented and explored, while open questions are broached in almost every chapter. Two appendices are attached: one dealing with a computer program which computes norms of finitely-supported vectors, while the other surveys recent work on weak Hilbert spaces (where a Tsirelson-type space provides an example).

Keywords

Banach Space Hilbert space functional analysis

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0085267
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-50678-2
  • Online ISBN 978-3-540-46069-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book