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Opis

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).

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Tsirelson's Space
• Autor: Peter G. Casazza, Thaddeus J. Shura
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 206
• EAN: 9783540506782
• ISBN: 3540506780
• ID: 05274091
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 690 g
• Wymiary: 235 × 155 × 12 mm

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