7 papers
Spectral mapping theorems of differentiable C0 semigroups
Abdelaziz Tajmouati, Hamid Boua, Mohammed Karmouni
Let be a semigroup on a Banach space with infinitesimal generator . In this work, we give conditions for which the spectral mapping theorem $σ_{*}(T…
Quasi-fredholm and saphar spectrums for the α-times integrated semigroups
Abdelaziz Tajmouati, Abdeslam El Bakkali, Mohamed Ahmed Mohamed Baba +1
We continue to study -times integrated semigroups. Essentially, we characterize the different spectrums of -times integrated semigroups by the spectrums of their generators.…
Essential Descent Spectrum Equality
Abdelaziz Tajmouati, Hamid Boua
A bounded operator in a Banach space is said to satisfy the essential descent spectrum equality, if the descent spectrum of as an operator on coincides with the ess…
Problem of Descent Spectrum Equality
Abdelaziz Tajmouati, Hamid Boua
Let be the algebra of all bounded operators acting on an infinite dimensional complex Banach space . We say that an operator satisfies th…
Quasi-Fredholm, Saphar Spectra for Integrated Semigroup
Abdelaziz Tajmouati, Hamid Boua, Mohamed Karmouni
In this paper, we show a spectral inclusion of integrated semigroups for Saphar, essentially Saphar and quasi-Fredholm spectra.
Semi-Fredholm and semi-Browder spectrums for the -times integrated semigroups
Abdelaziz Tajmouati, Abdeslam El Bakkali, Mohamed Baba Mohamed Ahmed +1
In this paper, we describe the different spectrums of the α-times integrated semigroups by the spectrums of their generators. Specially, essential ascent and descent, upper and low…