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 |
Acceso al artículo completo |