Operator space characterizations of C*-algebras and ternary rings

Mathematics – Operator Algebras

Scientific paper

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20 pages, latex, submitted in November 2001

Scientific paper

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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