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- catalog abstract "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).".
- catalog contributor b2356576.
- catalog contributor b2356577.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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).".
- catalog extent "viii, 204 p. ;".
- catalog hasFormat "Tsirelson's space.".
- catalog identifier "0387506780 (U.S.)".
- catalog identifier "3540506780".
- catalog isFormatOf "Tsirelson's space.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1363.".
- catalog isPartOf "Lecture notes in mathematics ; 1363".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Tsirelson's space.".
- catalog subject "515.7/32 19".
- catalog subject "Banach spaces.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1363 QA322.2".
- catalog tableOfContents "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.".
- catalog title "Tsirelson's space / Peter G. Casazza, Thaddeus J. Shura ; with an appendix by J. Baker, O. Slotterbeck, and R. Aron.".
- catalog type "text".