Geodesic
Generalized relative essential spectra
Filomat, Tome 36 (2022) no. 8, p. 2657

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DOI

The aim of the present paper is to give some spectral results about generalized Fredholm operators and the so called S-generalized Fredholm operators, where S is a given bounded linear operator acting on a Banach space X. When X possesses some properties, we provide then some sufficient conditions for which a bounded linear operator will be a generalized Fredholm. The obtained results are applied to characterize the so called generalized S-essential spectrum, in particular the generalized Jeribi S-essential spectrum [17]. These results are formulated by means of measure of weak noncompactness.
DOI : 10.2298/FIL2208657A
Classification : 47A10, 47A55, 47A53
Keywords: Weakly compact operator, generalized Fredholm and generalized semi-Fredholm operator, tauberian and co-tauberian operator, generalized essential spectrum 
Abdelhalim Azzouz; Mahamed Beghdadi; Bilel Krichen. Generalized relative essential spectra. Filomat, Tome 36 (2022) no. 8, p. 2657 . doi: 10.2298/FIL2208657A
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     title = {Generalized relative essential spectra},
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     doi = {10.2298/FIL2208657A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208657A/}
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