Journal ArticleOpen Access
$C_0$-semigroups and Local spectral theory
Author Affiliations
Premier University, Cadi Ayyad University, Sidi Mohamed Ben Abdellah University
Published InBoletim da Sociedade Paranaense de Matemática
Year2022
Abstract
Let $(T(t))_{t\geq0}$ be a $C_{0}$-semigroup of operators on a Banach space $X$. In this paper, we show that if there exists $t_0>0$ such that $T(t_0)$ has the SVEP then $(T(t))_{t\geq0}$ has the SVEP. Also, some local spectral properties for $C_0$ semigroups and theirs generators and some stabilities results are also established.
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