Tsirelson's Space / Lecture Notes in Mathematics Bd.1363 (PDF)
(Sprache: Englisch)
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,...
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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).
Bibliographische Angaben
- Autoren: Peter G. Casazza , Thaddeus J. Shura
- 2006, 1989, 206 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540460691
- ISBN-13: 9783540460695
- Erscheinungsdatum: 14.11.2006
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 12 MB
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Englisch
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