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Tsirelson's Space : With an Appendix by J. Baker, O. Slotterbeck and R. Aron / by Peter G. Casazza, Thaddeus J. Shura.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Casazza, Peter G., 1945- author.
- Shura, Thaddeus J., 1947- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1363.
- Lecture Notes in Mathematics, 0075-8434 ; 1363
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Analysis.
- Local Subjects:
- Analysis.
- Physical Description:
- 1 online resource (X, 206 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.
- System Details:
- text file PDF
- Summary:
- 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).
- Contents:
- Precursors of the Tsirelson construction
- The Figiel-Johnson construction of Tsirelson's space
- Block basic sequences in Tsirelson's space
- Bounded linear operators on T and the "blocking" principle
- Subsequences of the unit vector basis of Tsirelson's space
- Modified Tsirelson's Space: TM
- Embedding Theorems about T and T
- Isomorphisms between subspaces of Tsirelson's space which are spanned by subsequences of
- Permutations of the unit vector basis of Tsirelson's space
- Unconditional bases for complemented subspaces of Tsirelson's space
- Variations on a Theme
- Some final comments.
- Other Format:
- Printed edition:
- ISBN:
- 9783540460695
- Access Restriction:
- Restricted for use by site license.
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