Weyl's and Browder's theorems for operators satisfying the SVEP

Mourad Oudghiri. "Weyl's and Browder's theorems for operators satisfying the SVEP." Studia Mathematica 163.1 (2004): 85-101. <http://eudml.org/doc/284742>.

@article{MouradOudghiri2004,
abstract = {We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.},
author = {Mourad Oudghiri},
journal = {Studia Mathematica},
keywords = {Weyl operator; Browder operator; Browder spectrum; Browder's theorem},
language = {eng},
number = {1},
pages = {85-101},
title = {Weyl's and Browder's theorems for operators satisfying the SVEP},
url = {http://eudml.org/doc/284742},
volume = {163},
year = {2004},
}

TY - JOUR
AU - Mourad Oudghiri
TI - Weyl's and Browder's theorems for operators satisfying the SVEP
JO - Studia Mathematica
PY - 2004
VL - 163
IS - 1
SP - 85
EP - 101
AB - We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.
LA - eng
KW - Weyl operator; Browder operator; Browder spectrum; Browder's theorem
UR - http://eudml.org/doc/284742
ER -