1Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana 2Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana,
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 345-356
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Jose Sanabria; Luis Vasquez; Carlos Carpintero; Ennis Rosas; Orlando Garcia; Jose Sanabria; Luis Vasquez; Carlos Carpintero; Ennis Rosas; Orlando Garcia. On strong variations of Weyl type theorems. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 345-356. http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a14/
@article{AMUC_2017_86_2_a14,
author = {Jose Sanabria and Luis Vasquez and Carlos Carpintero and Ennis Rosas and Orlando Garcia and Jose Sanabria and Luis Vasquez and Carlos Carpintero and Ennis Rosas and Orlando Garcia},
title = { On strong variations of {Weyl} type theorems},
journal = {Acta mathematica Universitatis Comenianae},
pages = {345--356},
year = {2017},
volume = {86},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a14/}
}
TY - JOUR
AU - Jose Sanabria
AU - Luis Vasquez
AU - Carlos Carpintero
AU - Ennis Rosas
AU - Orlando Garcia
AU - Jose Sanabria
AU - Luis Vasquez
AU - Carlos Carpintero
AU - Ennis Rosas
AU - Orlando Garcia
TI - On strong variations of Weyl type theorems
JO - Acta mathematica Universitatis Comenianae
PY - 2017
SP - 345
EP - 356
VL - 86
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a14/
ID - AMUC_2017_86_2_a14
ER -
%0 Journal Article
%A Jose Sanabria
%A Luis Vasquez
%A Carlos Carpintero
%A Ennis Rosas
%A Orlando Garcia
%A Jose Sanabria
%A Luis Vasquez
%A Carlos Carpintero
%A Ennis Rosas
%A Orlando Garcia
%T On strong variations of Weyl type theorems
%J Acta mathematica Universitatis Comenianae
%D 2017
%P 345-356
%V 86
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a14/
%F AMUC_2017_86_2_a14
An operator T acting on a Banach space X satises the property (UWE) if \sigma_a(T) n SF \setminus \sigma{SF_+^-} = E(T), where a(T) is the aproximate point spectrum of T, SF_+^-(T) is the upper semi-Weyl spectrum of T and E(T) is the set of all eigenvalues of T that are isolated in the spectrum \sigma(T) of T. In this paper we introduce and study two new spectral properties, namely (V_E) and (V_{Ea} ), in connection with Weyl type theorems. Among other results, we have that T satises property(VE) if and only if T satises property (UWE) and \sigma (T) = \sigma_a (T).
