H. Boua

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math.SP2018

Spectral mapping theorems of differentiable C0 semigroups

Abdelaziz Tajmouati, Hamid Boua, Mohammed Karmouni

Let $(T (t))_{t \geq 0}$ be a $C_{0}$ semigroup on a Banach space $X$ with infinitesimal generator $A$ . In this work, we give conditions for which the spectral mapping theorem $σ_{*}(T…

math.SP2018

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 $α$ -times integrated semigroups. Essentially, we characterize the different spectrums of $α$ -times integrated semigroups by the spectrums of their generators.…

math.SP2018

Essential Descent Spectrum Equality

Abdelaziz Tajmouati, Hamid Boua

A bounded operator $T$ in a Banach space $X$ is said to satisfy the essential descent spectrum equality, if the descent spectrum of $T$ as an operator on $X$ coincides with the ess…

math.SP2018

Problem of Descent Spectrum Equality

Abdelaziz Tajmouati, Hamid Boua

Let $B (X)$ be the algebra of all bounded operators acting on an infinite dimensional complex Banach space $X$ . We say that an operator $T \in B (X)$ satisfies th…