Matrix Ordered Operator Algebras
Journal article, 2009

We study the question when for a given *-algebra,A a sequence of cones C-n subset of M-n (A)(sa) can be realized as cones of positive operators in a faithful *-representation of A on a Hilbert space. We present a criterion analogous to Effros-Choi abstract characterization of operator systems. A characterization of operator algebras which are completely boundedly isomorphic to C*-algebras is also presented.

*-algebra

operator system

Archimedean order

faithful representation

Author

Kate Juschenko

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Stanislav Popovych

University of Gothenburg

Chalmers, Mathematical Sciences

Published in

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 58 Issue 3 p. 1203-1218

Categorizing

Subject Categories (SSIF 2011)

Mathematics

Identifiers

DOI

10.1512/iumj.2009.58.3608

More information

Created

10/8/2017