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

Título inglés	a-Weyl's theorem and the single valued extension property.
Título español	El teorema de a-Weyl y la propiedad de extensión univaluada.
Autor/es	Oudghiri, Mourad
Organización	UFR Math. Univ. Lille, Villeneuve d'Ascq, Francia
Revista	0213-8743
Publicación	2006, 21 (1): 41-50, 25 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In the present paper, we study a-Weyl's and a-Browder's theorem for an operator T such that T or T* satisfies the single valued extension property (SVEP). We establish that if T* has the SVEP, then T obeys a-Weyl's theorem if and only if it obeys Weyl's theorem. Further, if T or T* has the SVEP, we show that the spectral mapping theorem holds for the essential approximative point spectrum, and that a-Browder's theorem is satisfied by f(T) whenever f Î H(σ(T)). We also provide several conditions that force an operator with the SVEP to obey a-Weyl's theorem. The author would like to precise that this paper constitute a part of his thesis [16].
Clasificación UNESCO	120200
Palabras clave español	Operadores lineales ; Operadores de Fredholm ; Teoría de perturbación ; Teorema de Weyl
Código MathReviews	MR2258340
Código Z-Math	Zbl 1112.47009
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