Matrix Ordered Operator Algebras
Operator Algebras
2010-03-19 v2 Functional Analysis
Representation Theory
Abstract
We study the question when for a given *-algebra a sequence of cones can be realized as cones of positive operators in a faithful *-representation of on a Hilbert space. A characterization of operator algebras which are completely boundedly isomorphic to -algebras is presented.
Cite
@article{arxiv.0704.1553,
title = {Matrix Ordered Operator Algebras},
author = {Ekaterina Juschenko and Stanislav Popovych},
journal= {arXiv preprint arXiv:0704.1553},
year = {2010}
}