A Desch-Schappacher perturbation theorem for bi-continuous semigroups
| Autor: | Budde, Christian, Farkas, Bálint |
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| Rok vydání: | 2018 |
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| Zdroj: | Mathematische Nachrichten. 2020; 293: 1053-1073 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1002/mana.201800534 |
| Popis: | We prove a Desch-Schappacher type perturbation theorem for one-parameter semigroups on Banach spaces which are not strongly continuous for the norm, but possess a weaker continuity property. In this paper we chose to work in the framework of bi-continuous semigroups. This choice has the advantage that we can treat in a unified manner two important classes of semigroups: implemented semigroups on the Banach algebra $\mathscr{L}(E)$ of bounded, linear operators on a Banach space $E$, and semigroups on the space of bounded and continuous functions over a Polish space induced by jointly continuous semiflows. For both of these classes we present an application of our abstract perturbation theorem Comment: 20 pages |
| Databáze: | arXiv |
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