Series:

Lecture Notes in Mathematics

1 primary work • 2 total works

Book 1363

Cover of Tsirelson's Space

Tsirelson's Space

by Peter G Casazza and Thaddeus J Shura

Published 11 January 1989
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).

Cover of Accounting and Financial System Reform in Eastern Europe and Asia