Metric characterizations of isometries and of unital operator spaces and systems
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- by David P. Blecher and Matthew Neal PDF
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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).References
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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
- 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
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 985-998
- MSC (2010): Primary 46L07, 47L25; Secondary 47B60, 47L07
- DOI: https://doi.org/10.1090/S0002-9939-2010-10670-6
- MathSciNet review: 2745650