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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-3,
author = {B\'alint Farkas},
title = {Perturbations of bi-continuous semigroups},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {147-161},
zbl = {1069.47046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-3}
}
Bálint Farkas. Perturbations of bi-continuous semigroups. Studia Mathematica, Tome 162 (2004) pp. 147-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-2-3/