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Operator space characterizations of C*-algebras and ternary rings

Matthew Neal·Bernard Russo
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Abstract

We prove that an operator space is completely isometric to a ternary ring of operators if and only if the open unit balls of all of its matrix spaces are bounded symmetric domains. From this we obtain an operator space characterization of C*-algebras.

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Matthew Neal, Bernard Russo. 2002-01-21. Operator space characterizations of C*-algebras and ternary rings. https://arxiv.org/abs/math/0201189

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