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math.SP2017★ 4 cited
Spectra Originated from Fredholm Theory and Browder's Theorem
Mohamed Amouch, Mohamed Karmouni, Abdelaziz Tajmouati
We give a new characterization of Browders theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under whic…
math.SP2016
Spectral inclusion for -Semigroups Drazin invertible and Quasi-Fredholm operators
A. Tajmouati, M. Amouch, M. R. F. Z. Alhomidi
Let be a semigroups and be its infinitesimal generator. In this work, we prove that the spectral inclusion for remains true for the Dr…
math.SP2016
Pseudo B-Fredholm Operators and Spectral Theory
Abdelaziz Tajmouati, Mohamed Amouch, Mohamed Karmouni
In this paper, we show that every pseudo B-Fredholm operator is a pseudo Fredholm operator. Afterwards, we prove that the pseudo B-Weyl spectrum is empty if and only if the pseudo…