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 size whose nonzero entries lie in an upper-triangular pattern. In fact if we fix any pattern of entries in an n by n matrix containing the diagonal, then the set of all n by n matrices whose nonzero entries lie in this pattern forms a reflexive algebra.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131245190
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131245190
    • Format Fachbuch
    • Titel Reflexive Operator Algebra
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 124
    • Genre Mathematik

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