Introduction to Operator Space Theory

Name: Introduction to Operator Space Theory
Brand: Cambridge University Press
SKU: 9780521811651
Price: 681.37 RON
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Autor: Gilles Pisier

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Editura: Cambridge University Press

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

Informații despre carte

Autor

Gilles Pisier

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2003

Pagini

488

EAN

9780521811651

ISBN

0521811651

Enbook ID

04095483

Editura

Cambridge University Press

Greutate

728

Dimensiuni

230 x 154 x 29

Descriere completă

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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Introduction to Operator Space Theory

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