Ordered involutive operator spaces
classification
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math.FA
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orderedboundaryoperatorspacespacesapplicationauthorscompanion
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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.
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