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Tsirelson's Space
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(Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!
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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). TOC: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 ätn ü.- 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.- Appendices.- Index. |
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i.d.R. innert 5-10 Tagen versandfertig
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