Tsirelson's Space
Author:   J. Baker ,  Peter G. Casazza ,  O. Slotterbeck ,  Thaddeus J. Shura
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1989 ed.
Volume:   1363
ISBN:  

9783540506782


Pages:   206
Publication Date:   11 January 1989
Format:   Paperback
Availability:   In Print   Availability explained
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Tsirelson's Space


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Overview

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).

Full Product Details

Author:   J. Baker ,  Peter G. Casazza ,  O. Slotterbeck ,  Thaddeus J. Shura
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1989 ed.
Volume:   1363
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.690kg
ISBN:  

9783540506782


ISBN 10:   3540506780
Pages:   206
Publication Date:   11 January 1989
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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 of .- 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.

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