Perturbations of bi-continuous semigroups
Volume 161 / 2004
Studia Mathematica 161 (2004), 147-161
MSC: 46A03, 47D06, 47A55.
DOI: 10.4064/sm161-2-3
Abstract
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.
