Fredholm perturbation theory and some essential spectra in Banach algebra with respect to subalgebra |
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| Affiliation: | Faculty of Sciences of Sfax, Department of Mathematics, BP1171, Sfax 3000, Tunisia |
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| Abstract: | The aim of this paper is to enlarge some known results from Fredholm and perturbation theory in the Banach algebra of bounded operators on a Banach space to the Fredholm theory in Banach algebra with respect to a subalgebra. The obtained results allow us to characterize the stability of some essential spectra with respect to a subalgebra. |
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| Keywords: | Fredholm perturbation Essential spectra Banach algebra |
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