Tsirelson's Space (Lecture Notes in Mathematics, 1363, Band 1363) - Softcover

Casazza, Peter G.

 
9783540506782: Tsirelson's Space (Lecture Notes in Mathematics, 1363, Band 1363)
Softcover
ISBN 10: 3540506780 ISBN 13: 9783540506782
Verlag: Springer, 2009

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540506780
ISBN 13 
9783540506782
Einband
Taschenbuch
Anzahl der Seiten
216
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