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A Holomorphic Characterization of Operator Algebras

Matthew Neal, Bernard Russo


A necessary and sufficient condition for an operator space to support a multiplication making it completely isometric and isomorphic to a unital operator algebra is proved. The condition involves only the holomorphic structure of the Banach spaces underlying the operator space.

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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