Displaying similar documents to “On the asymptotic behaviour of nonlinear contraction semigroups.”

Perturbations of bi-continuous semigroups

Bálint Farkas (2004)

Studia Mathematica

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The notion of bi-continuous semigroups has recently been introduced to handle semigroups on Banach spaces that are only strongly continuous for a topology coarser than the norm-topology. In this paper, as a continuation of the systematic treatment of such semigroups started in [20-22], we provide a bounded perturbation theorem, which turns out to be quite general in view of various examples.