Reflexive Operator Algebra
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Reflexive Operator Algebra

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In functional analysis, a reflexive operator algebra A is an operator algebra that has enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace left invariant by every operator in A. This should not be confused with a reflexive space. Nest algebras are examples of reflexive operator algebras. In finite dimensions, these are simply algebras of all matrices of a given s...