Ordered involutive operator spaces

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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.
11 pages. To appear, Positivity

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Operator Algebras, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/127826

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3095
 http://arxiv.org/abs/0704.3095

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arXiv