Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 57, Number 1 (2013), 25-41.
Metric characterizations II
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).
Illinois J. Math., Volume 57, Number 1 (2013), 25-41.
First available in Project Euclid: 23 June 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
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