Illinois Journal of Mathematics

Metric characterizations II

David P. Blecher and Matthew Neal

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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).

Article information

Source
Illinois J. Math., Volume 57, Number 1 (2013), 25-41.

Dates
First available in Project Euclid: 23 June 2014

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1403534484

Digital Object Identifier
doi:10.1215/ijm/1403534484

Mathematical Reviews number (MathSciNet)
MR3224559

Zentralblatt MATH identifier
1300.46053

Subjects
Primary: 46L07: Operator spaces and completely bounded maps [See also 47L25] 47L25: Operator spaces (= matricially normed spaces) [See also 46L07]
Secondary: 47L07: Convex sets and cones of operators [See also 46A55] 47L30: Abstract operator algebras on Hilbert spaces

Citation

Blecher, David P.; Neal, Matthew. Metric characterizations II. Illinois J. Math. 57 (2013), no. 1, 25--41. doi:10.1215/ijm/1403534484. https://projecteuclid.org/euclid.ijm/1403534484


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