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Spectra originated from Fredholm theory and Browder's theorem

Abdelaziz Tajmouati|Mohamed Amouch|Mohammed Karmouni
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회논문집 (Communications of the KMS)|제33권 제3호|pp. 853-869

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참고문헌

키워드

generalized Kato decompositionpseudo B-Fredholm operatorBrowder's theoremRiesz operatorcommuting perturbation
주제분류수학

초록

We give a new characterization of Browder's theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under which pseudo B-Fredholm and pseudo B-Weyl spectrum introduced in \cite{BO} and \cite{ZZ} become stable under commuting Riesz perturbations.

Abstract

We give a new characterization of Browder's theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under which pseudo B-Fredholm and pseudo B-Weyl spectrum introduced in \cite{BO} and \cite{ZZ} become stable under commuting Riesz perturbations.

참고문헌 (26)

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