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1. Réflexivité d'une extension d'un opérateur sous-normal par un opérateur algébrique

Author

Benlarbi Delaï, M'hammed, El-Fallah, Omar, and Elhachimi, Khalid

Subjects
*LINEAR operators, *HILBERT space, *INVARIANT subspaces, *POLYNOMIALS, *MATHEMATICAL decomposition, *SUBNORMAL operators, *MATHEMATICAL analysis
Abstract

Abstract: A bounded linear operator on a Hilbert space is said to be reflexive if the operators which leave invariant the invariant subspaces of T are wot-limits of polynomials in T. In this paper we give a necessary and sufficient condition for an extension of a subnormal operator by an algebraic one to be reflexive.We also give a formula for the reflexivity defect of such extensions. [Copyright &y& Elsevier]

Published
2010
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