Tsirelson's Space 1989 Edition Contributor(s): Baker, J., Casazza, Peter G. (Author), Slotterbeck, O. |
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ISBN: 3540506780 ISBN-13: 9783540506782 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: January 1989 Annotation: 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). |
Additional Information |
BISAC Categories: - Mathematics | Transformations - Mathematics | Mathematical Analysis |
Dewey: 515.732 |
Series: Lecture Notes in Mathematics |
Physical Information: 0.46" H x 6.14" W x 9.21" (0.68 lbs) 206 pages |