Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation
Filomat, Tome 37 (2023) no. 1, p. 193
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In this paperwe investigate the spectrum and the Drazin spectrum and their pseudo spectral analogues, for linear relations between Banach spaces and corresponding spectra, the generalized Drazin-meromorphic pseudospectrum. More specifically, the generalized Drazin-meromorphic pseudospectrum for a linear relations on a Banach space is studied. We also make several observations about the level set of the generalized Drazin-meromorphic pseudospectrum of linear relations. Furthermore, it is shown that pseudospectrum has no isolated points, has a finite number of connected components and each component contains an element from the generalized Drazin-meromorphic spectrum .
Classification :
15A09, 15A86. 65F40, 15A60, 65F15
Keywords: Linear relation, Pseudo spectrum, Drazin spectrum, Generalized Drazin spectrum, Generalized Drazin-meromorphic spectrum
Keywords: Linear relation, Pseudo spectrum, Drazin spectrum, Generalized Drazin spectrum, Generalized Drazin-meromorphic spectrum
Kamel Mahfoudhi; Bilel Saadaoui; Vladimir Rakočević. Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation. Filomat, Tome 37 (2023) no. 1, p. 193 . doi: 10.2298/FIL2301193M
@article{10_2298_FIL2301193M,
author = {Kamel Mahfoudhi and Bilel Saadaoui and Vladimir Rako\v{c}evi\'c},
title = {Generalized {Drazin-meromorphic} pseudospectrum for multivalued linear relation},
journal = {Filomat},
pages = {193 },
year = {2023},
volume = {37},
number = {1},
doi = {10.2298/FIL2301193M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301193M/}
}
TY - JOUR AU - Kamel Mahfoudhi AU - Bilel Saadaoui AU - Vladimir Rakočević TI - Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation JO - Filomat PY - 2023 SP - 193 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2301193M/ DO - 10.2298/FIL2301193M LA - en ID - 10_2298_FIL2301193M ER -
%0 Journal Article %A Kamel Mahfoudhi %A Bilel Saadaoui %A Vladimir Rakočević %T Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation %J Filomat %D 2023 %P 193 %V 37 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2301193M/ %R 10.2298/FIL2301193M %G en %F 10_2298_FIL2301193M
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