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[null,"1.","Record Nr.",null,"UNISA996466651203316"]
[null,null,"Autore",null,"Casazza Peter G. <1945->"]
[null,null,"Titolo",null,"Tsirelson's space / / Peter G. Casazza and Thaddeus J. Shura"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989]"]
[{"$nulls":4},"©1989"]
[null,null,"ISBN",null,"3-540-46069-1"]
[null,null,"Edizione",null,"[1st ed. 1989.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 206 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1363"]
[null,null,"Disciplina",null,"515.732"]
[null,null,"Soggetti",null,"Mathematics"]
[{"$nulls":4},"Banach spaces"]
[{"$nulls":4},"Global analysis (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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)."]