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Tsirelson's space

Author: Peter G Casazza; Thaddeus J Shura
Publisher: Berlin ; New York : Springer-Verlag, ©1989.
Series: Lecture notes in mathematics (Springer-Verlag), 1363.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Casazza, Peter G., 1945-
Tsirelson's space.
Berlin ; New York : Springer-Verlag, ©1989
(DLC) 88034436
(OCoLC)18948244
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter G Casazza; Thaddeus J Shura
ISBN: 9783540460695 3540460691
OCLC Number: 298623517
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 204 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Precursors of the Tsirelson Construction --
The Figiel-Johnson Construction of Tsirelson's Space --
Block Basic Sequences in Tsirelson's Space --
Bounded Linear Operators on T and the "Blocking" Principle --
Subsequences of the Unit Vector Basis of Tsirelson's Space --
Modified Tsirelson's Space: TM --
Embedding Theorems About T and T* --
Isomorphisms Between Subspaces of Tsirelson's Space Which are Spanned by Subsequences tn --
Permutations of the Unit Vector Basis of Tsirelson's Space --
Unconditional Bases for Complemented Subspaces of Tsirelson's Space --
Variations on a Theme --
Some Final Comments --
Appendices --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1363.
Responsibility: Peter G. Casazza, Thaddeus J. Shura ; with an appendix by J. Baker, O. Slotterbeck, and R. Aron.

Abstract:

This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Two appendices are attached: one dealing with a computer program which computes norms of  Read more...

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