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Introduction to Operator Space Theory

Name: Introduction to Operator Space Theory
Brand: Cambridge University Press
SKU: 04095483
Price: 50106 HUF
Availability: InStock
Author: Gilles Pisier
ISBN: 9780521811651

Gilles Pisier

Language

English

Book Paperback

Libristo code: 04095483

Publishers Cambridge University Press, August 2003

The theory of operator spaces is very recent and can be described as a non-commutative Banach space... Full description

Libristo code: 04095483

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The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a Banach space with an embedding into the space B(H) of all bounded operators on a Hilbert space H. The first part of this book is an introduction with emphasis on examples that illustrate various aspects of the theory. The second part is devoted to applications to C*-algebras, with a systematic exposition of tensor products of C*-algebras. The third (and shorter) part of the book describes applications to non self-adjoint operator algebras, and similarity problems. In particular the author's counterexample to the 'Halmos problem' is presented, as well as work on the new concept of 'length' of an operator algebra. Graduate students and professional mathematicians interested in functional analysis, operator algebras and theoretical physics will find that this book has much to offer.