Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness
Filomat, Tome 37 (2023) no. 30, p. 10289
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In the present paper we introduce a new concept of measuring, called the measure of non-almost weak noncompactness. We use this measure to characterize the almost weakly compact operators and to investigate the generalized Schechter essential spectrum of the sum of two bounded linear operators.
Classification :
47A53, 47A10, 47A55
Keywords: Almost weakly compact operator, Generalized Fredholm operator, Generalized essential spectrum
Keywords: Almost weakly compact operator, Generalized Fredholm operator, Generalized essential spectrum
Rabeb Aydi; Bilel Krichen. Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness. Filomat, Tome 37 (2023) no. 30, p. 10289 . doi: 10.2298/FIL2330289A
@article{10_2298_FIL2330289A,
author = {Rabeb Aydi and Bilel Krichen},
title = {Generalized {Schechter} essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness},
journal = {Filomat},
pages = {10289 },
year = {2023},
volume = {37},
number = {30},
doi = {10.2298/FIL2330289A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330289A/}
}
TY - JOUR AU - Rabeb Aydi AU - Bilel Krichen TI - Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness JO - Filomat PY - 2023 SP - 10289 VL - 37 IS - 30 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2330289A/ DO - 10.2298/FIL2330289A LA - en ID - 10_2298_FIL2330289A ER -
%0 Journal Article %A Rabeb Aydi %A Bilel Krichen %T Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness %J Filomat %D 2023 %P 10289 %V 37 %N 30 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2330289A/ %R 10.2298/FIL2330289A %G en %F 10_2298_FIL2330289A
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