Tsirelson's Space [electronic resource] : With an Appendix by J. Baker, O. Slotterbeck and R. Aron /

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).

Bibliographic Details

Main Authors:	Casazza, Peter G. author., Shura, Thaddeus J. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989
Subjects:	Mathematics., Mathematical analysis., Analysis (Mathematics)., Analysis.,
Online Access:	http://dx.doi.org/10.1007/BFb0085267
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