Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The complete isomorphism class of an operator space


Author: Timur Oikhberg
Journal: Proc. Amer. Math. Soc. 135 (2007), 3943-3948
MSC (2000): Primary 46L07, 47L25
Published electronically: June 20, 2007
MathSciNet review: 2341944
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Suppose $ X$ is an infinite-dimensional operator space and $ n$ is a positive integer. We prove that for every $ C > 0$ there exists an operator space $ \tilde{X}$ such that the formal identity map $ id : X \to \tilde{X}$ is a complete isomorphism, $ I_{\mathbf{M}_n} \otimes id$ is an isometry, and $ d_{cb}(X, \tilde{X}) > C$. This provides a non-commutative counterpart to a recent result of W. Johnson and E. Odell.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L07, 47L25

Retrieve articles in all journals with MSC (2000): 46L07, 47L25


Additional Information

Timur Oikhberg
Affiliation: Department of Mathematics, University of California, Irvine, Irvine, California 92697
Email: toikhber@math.uci.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08993-9
PII: S 0002-9939(07)08993-9
Keywords: Exact operator space, complete isomorphism, c.b.~distance
Received by editor(s): June 28, 2006
Received by editor(s) in revised form: October 31, 2006
Published electronically: June 20, 2007
Additional Notes: The author was partially supported by the NSF grant DMS-0500957
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.