Introduction to Operator Space Theory by Gilles Pisier
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Introduction to Operator Space Theory
By Gilles Pisier

Introduction to Operator Space Theory

By (author) See other recent books by Gilles Pisier
Series edited by N. J. Hitchin See other recent books by N. J. Hitchin
Format: Paperback

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Introduction to Operator Space Theory by Gilles Pisier

Book Description

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.

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Book Details

ISBN: 9780521811651
ISBN-10: 0521811651
Format: Paperback
(228mm x 152mm x 28mm)
Pages: 488
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Aug-2003
Country of Publication: United Kingdom

Books By Author Gilles Pisier

Martingales in Banach Spaces by Gilles Pisier Martingales in Banach Spaces, Hardback (June 2016)

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Volume of Convex Bodies and Banach Space Geometry by Gilles Pisier Volume of Convex Bodies and Banach Space Geometry, Paperback (May 1999)

A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.

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