Jump to ContentJump to Main Navigation
Operator Algebras and Their ModulesAn operator space approach$
Users without a subscription are not able to see the full content.

David P. Blecher and Christian Le Merdy

Print publication date: 2004

Print ISBN-13: 9780198526599

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198526599.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 22 April 2019

Tensor products of operator algebras

Tensor products of operator algebras

(p.232) 6 Tensor products of operator algebras
Operator Algebras and Their Modules

David P. Blecher

Christian Le Merdy

Oxford University Press

Tensor products and C*-norms play a prominent role in the theory of C*-algebras, in particular in the study of nuclear C*-algebras and semidiscrete (or injective) von Neumann algebras. This chapter extends part of that theory to nonselfadjoint operator algebras, and gives some applications. Topics covered include maximal and normal tensor products, joint dilations and the disc algebra, tenser products with triangular algebras, Pisier's delta norm, factorization through matrix spaces, and nuclearity and semidiscreteness for linear operators. Notes and historical remarks are presented at the end of the chapter.

Keywords:   C*-norms, C*-algebras, nonselfadjoint operator algebras, joint dilations, disc algebra, triangular algebras, semidiscrete

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .