Tsirelson's space / / Peter G. Casazza and Thaddeus J. Shura
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| Autore: |
Casazza Peter G. <1945->
|
| Titolo: |
Tsirelson's space / / Peter G. Casazza and Thaddeus J. Shura
|
| Pubblicazione: | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
| ©1989 | |
| Edizione: | 1st ed. 1989. |
| Descrizione fisica: | 1 online resource (X, 206 p.) |
| Disciplina: | 515.732 |
| Soggetto topico: | Mathematics |
| Banach spaces | |
| Global analysis (Mathematics) | |
| Persona (resp. second.): | ShuraThaddeus J. <1947-> |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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). |
| Titolo autorizzato: | Tsirelson's space |
| ISBN: | 3-540-46069-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466651203316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1363