Geodesic
Stability of relative essential spectra involving relative demicompactness concept in Banach subalgebra
Filomat, Tome 37 (2023) no. 3, p. 891

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DOI

This paper develops the notion of relative demicompact elements of an algebra with respect to a Banach subalgebra as a generalization of relative demicompact linear operators acting on Banach spaces. Drawing on this novel notion, we build a new class of Fredholm perturbation regarding a given Banach subalgebra B which contains its inessential ideal k B and the set of left Fredholm perturbations suggested in [6]. The developed class of Fredholm perturbation exhibits that is a two-sided closed ideal of B that is key in the characterization of the weyl spectrum of elements affiliated with B.
DOI : 10.2298/FIL2303891C
Classification : 47A13, 47L10, 47A25, 47B48
Keywords: Banach algebra, Fredholm theory, Demicompactness theory, Essential spectra 
Slim Chelly. Stability of relative essential spectra involving relative demicompactness concept in Banach subalgebra. Filomat, Tome 37 (2023) no. 3, p. 891 . doi: 10.2298/FIL2303891C
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     title = {Stability of relative essential spectra involving relative demicompactness concept in {Banach} subalgebra},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303891C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303891C/}
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