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

Amouch, Mohamed. "Generalized a-Weyl's theorem and the single-valued extension property.." Extracta Mathematicae 21.1 (2006): 51-65. <http://eudml.org/doc/41850>.

@article{Amouch2006,
abstract = {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.},
author = {Amouch, Mohamed},
journal = {Extracta Mathematicae},
keywords = {Operadores lineales; Operadores de Fredholm; Espectros; Teorema de Weyl; generalised Weyl's theorem; generalised Browder's theorem; generalised -Weyl’s theorem; generalised -Browder’s theorem; semi-essential approximate point spectrum; -Fredholm and semi--Fredholm operators; SVEP},
language = {eng},
number = {1},
pages = {51-65},
title = {Generalized a-Weyl's theorem and the single-valued extension property.},
url = {http://eudml.org/doc/41850},
volume = {21},
year = {2006},
}

TY - JOUR
AU - Amouch, Mohamed
TI - Generalized a-Weyl's theorem and the single-valued extension property.
JO - Extracta Mathematicae
PY - 2006
VL - 21
IS - 1
SP - 51
EP - 65
AB - 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.
LA - eng
KW - Operadores lineales; Operadores de Fredholm; Espectros; Teorema de Weyl; generalised Weyl's theorem; generalised Browder's theorem; generalised -Weyl’s theorem; generalised -Browder’s theorem; semi-essential approximate point spectrum; -Fredholm and semi--Fredholm operators; SVEP
UR - http://eudml.org/doc/41850
ER -