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Spring 2013 Metric characterizations II
David P. Blecher, Matthew Neal
Illinois J. Math. 57(1): 25-41 (Spring 2013). DOI: 10.1215/ijm/1403534484

Abstract

The present paper is a sequel to our paper “Metric characterization of isometries and of unital operator spaces and systems.” We characterize certain common objects in the theory of operator spaces (unitaries, unital operator spaces, operator systems, operator algebras, and so on), in terms which are purely linear-metric, by which we mean that they only use the vector space structure of the space and its matrix norms. In the last part, we give some characterizations of operator algebras (which are not linear-metric in our strict sense described in the paper).

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David P. Blecher. Matthew Neal. "Metric characterizations II." Illinois J. Math. 57 (1) 25 - 41, Spring 2013. https://doi.org/10.1215/ijm/1403534484

Information

Published: Spring 2013
First available in Project Euclid: 23 June 2014

zbMATH: 1300.46053
MathSciNet: MR3224559
Digital Object Identifier: 10.1215/ijm/1403534484

Subjects:
Primary: 46L07 , 47L25
Secondary: ‎47L07 , 47L30

Rights: Copyright © 2013 University of Illinois at Urbana-Champaign

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Vol.57 • No. 1 • Spring 2013
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