Ordered involutive operator spaces
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
This is a companion to recent papers of the authors; here we construct the `noncommutative Shilov boundary' of a (possibly nonunital) selfadjoint ordered space of Hilbert space operators. The morphisms in the universal property of the boundary preserve order. As an application, we consider `maximal' and `minimal' unitizations of such ordered operator spaces.
Cite
@article{arxiv.0704.3095,
title = {Ordered involutive operator spaces},
author = {David P. Blecher and Kay Kirkpatrick and Matthew Neal and Wend Werner},
journal= {arXiv preprint arXiv:0704.3095},
year = {2007}
}