Verlagslink DOI: 10.1016/j.jmaa.2021.125985
arXiv ID: 2110.01244v2
Titel: On equicontinuity and tightness of bi-continuous semigroups
Sprache: Englisch
Autor/Autorin: Kruse, Karsten  
Schwenninger, Felix 
Schlagwörter: Bi-continuous semigroup; Tight; Equicontinuous; Mixed topology; C-sequential
Erscheinungs­datum: 6-Jan-2022
Quellenangabe: Journal of Mathematical Analysis and Applications : 125985 (2022) (in press)
Zusammenfassung (englisch): 
In contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology. This paper aims to give minimal assumptions in order to recover typical features like tightness and equicontinuity with respect to the mixed topology as well as to carefully clarify on mutual relations between previously studied variants of these notions. The abstract results -- exploiting techniques from topological vector spaces -- are thoroughly discussed by means of several example classes, such as semigroups on spaces of bounded continuous functions.
URI: http://hdl.handle.net/11420/11462
ISSN: 1096-0813
Zeitschrift: Journal of mathematical analysis and applications 
Institut: Mathematik E-10 
Dokumenttyp: Artikel/Aufsatz
Projekt: Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen 
Peer Reviewed: Ja
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