arXiv subjects

A. Tajmouati

Publications and source records attributed to A. Tajmouati.

2 recordsLinked to original sources

arXiv2016

Spectral inclusion for $C_0$-Semigroups Drazin invertible and Quasi-Fredholm operators

Let $(T(t))_{t\geq0}$ be a $C_0$ semigroups and $A$ be its infinitesimal generator. In this work, we prove that the spectral inclusion for $(T(t))_{t\geq0}$ remains true for the Drazin invertible and Quasi-Fredholm spectra. Also, we will give conditions under which facts $A$ is quasi-Fredholm, $A$ is Drazin invertible and $A$ is B-Fredholm are equivalent.

math.SP↗

arXiv2016

Spectral equality for $C_0$ semigroups

In this paper, we give conditions for which the $C_0$ semigroups satisfies spectral equality for semiregular, essentially semiregular and semi-Fredholm spectrum. Also, we establish the spectral inclusion for B-Fredholm spectrum of a $C_0$ semigroups.

math.SP↗