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Tsirelson's Space

Tsirelson's Space

Paperback

Series: Lecture Notes in Mathematics, Book 1363

General Mathematics

ISBN10: 3540506780
ISBN13: 9783540506782
Publisher: Springer Nature
Published: Jan 11 1989
Pages: 206
Weight: 0.68
Height: 0.46 Width: 6.14 Depth: 9.21
Language: English
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).

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General Mathematics