Sun dual theory for bi-continuous semigroups

Publikationstyp
Journal Article
Date Issued
2024-03-28
Sprache
English
Author(s)
Kruse, Karsten  orcid-logo
Mathematik E-10  
Schwenninger, Felix  
TORE-DOI
10.15480/882.9442
TORE-URI
https://hdl.handle.net/11420/46828
Journal
Analysis mathematica  
Citation
Analysis Mathematica (2024)
Publisher DOI
10.1007/s10476-024-00014-z
Scopus ID
2-s2.0-85188908238
Publisher
Akad. Kiadó
The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only weak ∗-continuous. In this paper we develop a corresponding theory for bi-continuous semigroups under mild assumptions on the involved locally convex topologies. We also discuss sun reflexivity and Favard spaces in this context, extending classical results by van Neerven.
Subjects
bi-continuous semigroup
Favard space
Mazur space
mixed topology
primary 47D06
secondary 46A70
sun dual
sun reflexive
DDC Class
510: Mathematics
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by/4.0/
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