Back to Search
Start Over
A Desch–Schappacher perturbation theorem for bi‐continuous semigroups.
- Source :
- Mathematische Nachrichten; Jun2020, Vol. 293 Issue 6, p1053-1073, 21p
- Publication Year :
- 2020
-
Abstract
- 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 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0025584X
- Volume :
- 293
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Mathematische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 143431279
- Full Text :
- https://doi.org/10.1002/mana.201800534