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arXiv · 0704.1553

Matrix Ordered Operator Algebras

Ekaterina Juschenko·Stanislav Popovych
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Abstract

We study the question when for a given *-algebra $\mathcal{A}$ a sequence of cones $C_n\in M_n(\mathcal{A})$ can be realized as cones of positive operators in a faithful *-representation of $\mathcal{A}$ on a Hilbert space. A characterization of operator algebras which are completely boundedly isomorphic to $C\sp*$-algebras is presented.

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Ekaterina Juschenko, Stanislav Popovych. 2007-04-22. Matrix Ordered Operator Algebras. https://arxiv.org/abs/0704.1553

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