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Tesirelson'S Spaces by Peter G. Casazza, Others

Tesirelson'S Spaces

by Peter G. Casazza , Others
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Book cover type: Paperback
  • ISBN13: 9783540506782
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer V
  • Publication Date:
  • Pages: 212
  • Original Price: EUR 49.99
  • Language: English
  • Edition: N/A
  • Item Weight: 500 grams
  • BISAC Subject(s): Mathematical Analysis

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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