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Start Over Topic mathematical analysis Topic mathematical decomposition Language french
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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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2. SUR LES ALGÈBRES NUCLEÁIRES II.

Author

DA MOTTA, JOÃO and MICALI, ARTIBANO

Subjects
*MATHEMATICAL decomposition, *SEMISIMPLE Lie groups, *DIRECT sum decompositions, *ALGEBRA, *MATHEMATICAL analysis
Abstract

This paper is the continuation of a precedent one (cf. [2]). We decompose a subclass of semi-simples nuclear algebras as direct sum of simples ideals and we give a Wedderburn decomposition for these algebras. [ABSTRACT FROM AUTHOR]

Published
2007
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