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Book Title: | Tsirelson's Space: 1363 (Lecture Notes in Mathematics) |
Author: | Peter G. Casazza; Others |
ISBN-13: | 9783540506782 |
Publication: | Springer V |
Reprint Year: | 1989 |
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h 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).
Higher Education Textbooks
Paperback
English
Page count varies on each edition/reprint
1989
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