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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Metric characterizations of isometries and of unital operator spaces and systems


Authors: David P. Blecher and Matthew Neal
Journal: Proc. Amer. Math. Soc. 139 (2011), 985-998
MSC (2010): Primary 46L07, 47L25; Secondary 47B60, 47L07
Published electronically: September 24, 2010
MathSciNet review: 2745650
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Abstract: We give some new characterizations of unitaries, isometries, unital operator spaces, unital function spaces, operator systems, $ C^*$-algebras, and related objects. These characterizations only employ the vector space and operator space structure (not mentioning products, involutions, or any kind of function on the space).


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Additional Information

David P. Blecher
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3008
Email: dblecher@math.uh.edu

Matthew Neal
Affiliation: Department of Mathematics, Denison University, Granville, Ohio 43023
Email: nealm@denison.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10670-6
PII: S 0002-9939(2010)10670-6
Received by editor(s): November 30, 2009
Received by editor(s) in revised form: March 26, 2010
Published electronically: September 24, 2010
Additional Notes: The first author was partially supported by grant DMS 0800674 from the National Science Foundation.
The second author was supported by Denison University.
Communicated by: Marius Junge
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.