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http://dx.doi.org/10.4134/CKMS.c170283

SPECTRA ORIGINATED FROM FREDHOLM THEORY AND BROWDER'S THEOREM  

Amouch, Mohamed (Department of Mathematics University Chouaib Doukkali Faculty of Sciences)
Karmouni, Mohammed (Multidisciplinary Faculty Cadi Ayyad University)
Tajmouati, Abdelaziz (Laboratory of Mathematical Analysis and Applications University Faculty of Sciences Dhar Al Mahraz)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 853-869 More about this Journal
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 [9] and [25] become stable under commuting Riesz perturbations.
Keywords
generalized Kato decomposition; pseudo B-Fredholm operator; Browder's theorem; Riesz operator; commuting perturbation;
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