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A Desch-Schappacher perturbation theorem for bi-continuous semigroups

Christian, Budde and Farkas, Bálint (2018) A Desch-Schappacher perturbation theorem for bi-continuous semigroups. MATHEMATISCHE NACHRICHTEN, 293 (6). pp. 1053-1073. ISSN 0025-584X

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 30 Jan 2024 14:58
Last Modified: 30 Jan 2024 14:58
URI: http://real.mtak.hu/id/eprint/186720

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