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Lecture Notes in Mathematics

Tsirelson's Space

Authors: Casazza, Peter G., Shura, Thaddeus J.

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About this book

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).

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-540-46069-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-540-50678-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Tsirelson's Space
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1363
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46069-5
DOI
10.1007/BFb0085267
Softcover ISBN
978-3-540-50678-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 206
Topics

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