Matrix regular operator space and operator system
Operator Algebras
2010-02-09 v1
Abstract
We establish a relationship between Schreiner's matrix regular operator space and Werner's (nonunital) operator system. For a matrix ordered operator space with complete norm, we show that is completely isomorphic and complete order isomorphic to a matrix regular operator space if and only if both and its dual space are (nonunital) operator systems.
Cite
@article{arxiv.1002.1520,
title = {Matrix regular operator space and operator system},
author = {Kyung Hoon Han},
journal= {arXiv preprint arXiv:1002.1520},
year = {2010}
}
Comments
8 pages, to appear in JMAA