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Tsirelson's Space by Peter G Casazza
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Tsirelson's Space

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Description

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).
Release date NZ
January 11th, 1989
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Contributors
  • Appendix by J. Baker
  • Appendix by O. Slotterbeck
  • Appendix by R. Aron
Illustrations
X, 206 p.
Pages
206
Dimensions
156x234x11
ISBN-13
9783540506782
Product ID
2814714

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