Geodesic
Perturbations of bi-continuous semigroups
Bálint Farkas 1
1 Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 D-72076 Tübingen, Germany and Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences Reáltanoda u. 13–15 H-1053 Budapest, Hungary
Studia Mathematica, Tome 161 (2004) no. 2, pp. 147-161 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm161-2-3
Keywords: notion bi continuous semigroups has recently introduced handle semigroups banach spaces only strongly continuous topology coarser norm topology paper continuation systematic treatment semigroups started provide bounded perturbation theorem which turns out quite general view various examples

Bálint Farkas  1

1 Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 D-72076 Tübingen, Germany and Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences Reáltanoda u. 13–15 H-1053 Budapest, Hungary 
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Bálint Farkas. Perturbations of bi-continuous semigroups. Studia Mathematica, Tome 161 (2004) no. 2, pp. 147-161. doi: 10.4064/sm161-2-3

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