Generalized a-Weyl's theorem and the single-valued extension property.

Título inglés	Generalized a-Weyl's theorem and the single-valued extension property.
Título español	Teorema de a-Weyl generalizado y la propiedad de extensión univaluada.
Autor/es	Amouch, Mohamed
Organización	Dep. Math. Fac. Sci., Semlalia (Marrakesh), Marruecos
Revista	0213-8743
Publicación	2006, 21 (1): 51-65, 26 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Let T be a bounded linear operator acting on a Banach space X such that T or T* has the single-valued extension property (SVEP). We prove that the spectral mapping theorem holds for the semi-essential approximate point spectrum σSBF-+(T); and we show that generalized a-Browder's theorem holds for f(T) for every analytic function f defined on an open neighbourhood U of σ(T): Moreover, we give a necessary and sufficient condition for such T to obey generalized a-Weyl's theorem. An application is given for an important class of Banach space operators.
Clasificación UNESCO	120200
Palabras clave español	Operadores lineales ; Operadores de Fredholm ; Espectros ; Teorema de Weyl
Código MathReviews	MR2258341
Código Z-Math	Zbl pre05081467
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