In this paper, we present a decomposition property for the classes of semi B-Fredholm and semi B-Weyl operators, that are comparable in certain form with the Kato Theorem for semi-Fredholm operators. This decomposition property is then used to study perturbations of these classes of operators by commuting operators which have a power of finite range, in particular nilpotent operators.
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Lab Math Anal & Applicat Fez, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Lab Math Anal & Applicat Fez, Fes, Morocco
Tajmouati, Abdelaziz
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Amouch, Mohamed
Karmouni, Mohammed
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Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Lab Math Anal & Applicat Fez, Fes, MoroccoSidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Al Mahraz, Lab Math Anal & Applicat Fez, Fes, Morocco
机构:
Univ Mohammed 1, Sci Fac Oujda, Dept Math, Operator Theory Team, Oujda, MoroccoUniv Mohammed 1, Sci Fac Oujda, Dept Math, Operator Theory Team, Oujda, Morocco
Berkani, M.
Moalla, N.
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Univ Sfax, Sci Fac Sfax, Dept Math, Sfax, TunisiaUniv Mohammed 1, Sci Fac Oujda, Dept Math, Operator Theory Team, Oujda, Morocco