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 |
![]() |