Weyl's and Browder's theorems for
operators satisfying the SVEP
Studia Mathematica, Tome 163 (2004) no. 1, pp. 85-101
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $f\in {\mathcal H}(\sigma (T))$. 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.
Keywords:
study weyls browders theorem operator banach space its adjoint has single valued extension property establish spectral mapping theorem weyl spectrum browders theorem holds every mathcal sigma necessary sufficient conditions obey weyls theorem weyls theorem important class banach space operators studied
Affiliations des auteurs :
Mourad Oudghiri 1
@article{10_4064_sm163_1_5,
author = {Mourad Oudghiri},
title = {Weyl's and {Browder's} theorems for
operators satisfying the {SVEP}},
journal = {Studia Mathematica},
pages = {85--101},
publisher = {mathdoc},
volume = {163},
number = {1},
year = {2004},
doi = {10.4064/sm163-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm163-1-5/}
}
Mourad Oudghiri. Weyl's and Browder's theorems for operators satisfying the SVEP. Studia Mathematica, Tome 163 (2004) no. 1, pp. 85-101. doi: 10.4064/sm163-1-5
Cité par Sources :