On generalized property (v) for bounded linear operators

J. Sanabria, et al. "On generalized property (v) for bounded linear operators." Studia Mathematica 212.2 (2012): 141-154. <http://eudml.org/doc/286646>.

@article{J2012,
abstract = {An operator T acting on a Banach space X has property (gw) if $σ_\{a\}(T)∖σ_\{SBF₊¯\}(T) = E(T)$, where $σ_\{a\}(T)$ is the approximate point spectrum of T, $σ_\{SBF₊¯\}(T)$ is the upper semi-B-Weyl spectrum of T and E(T) is the set of all isolated eigenvalues of T. We introduce and study two new spectral properties (v) and (gv) in connection with Weyl type theorems. Among other results, we show that T satisfies (gv) if and only if T satisfies (gw) and $σ(T) = σ_\{a\}(T)$.},
author = {J. Sanabria, C. Carpintero, E. Rosas, O. García},
journal = {Studia Mathematica},
keywords = {property ; property ; generalized Weyl's theorem; semi-B-Fredholm operator},
language = {eng},
number = {2},
pages = {141-154},
title = {On generalized property (v) for bounded linear operators},
url = {http://eudml.org/doc/286646},
volume = {212},
year = {2012},
}

TY - JOUR
AU - J. Sanabria
AU - C. Carpintero
AU - E. Rosas
AU - O. García
TI - On generalized property (v) for bounded linear operators
JO - Studia Mathematica
PY - 2012
VL - 212
IS - 2
SP - 141
EP - 154
AB - An operator T acting on a Banach space X has property (gw) if $σ_{a}(T)∖σ_{SBF₊¯}(T) = E(T)$, where $σ_{a}(T)$ is the approximate point spectrum of T, $σ_{SBF₊¯}(T)$ is the upper semi-B-Weyl spectrum of T and E(T) is the set of all isolated eigenvalues of T. We introduce and study two new spectral properties (v) and (gv) in connection with Weyl type theorems. Among other results, we show that T satisfies (gv) if and only if T satisfies (gw) and $σ(T) = σ_{a}(T)$.
LA - eng
KW - property ; property ; generalized Weyl's theorem; semi-B-Fredholm operator
UR - http://eudml.org/doc/286646
ER -