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arXiv · 0704.3095

Ordered involutive operator spaces

David P. Blecher·Kay Kirkpatrick·Matthew Neal·Wend Werner
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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.

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David P. Blecher, Kay Kirkpatrick, Matthew Neal, Wend Werner. 2007-04-23. Ordered involutive operator spaces. https://arxiv.org/abs/0704.3095

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