Tsirelson's Space - Lecture Notes in Mathematics 1363 (Paperback)
  • Tsirelson's Space - Lecture Notes in Mathematics 1363 (Paperback)

Tsirelson's Space - Lecture Notes in Mathematics 1363 (Paperback)

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Paperback 206 Pages / Published: 11/01/1989
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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).

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540506782
Number of pages: 206
Weight: 690 g
Dimensions: 235 x 155 x 11 mm
Edition: 1989 ed.

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