Matthew Neal, Bernard Russo
Abstract
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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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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.
Key concepts: Holomorphic function, Operator space, Multiplication operator, Finite-rank operator, Mathematics, Operator algebra, Holomorphic functional calculus, Operator (biology)