Kruse, KarstenKarstenKruseSchwenninger, FelixFelixSchwenninger2024-04-082024-04-082024-03-28Analysis Mathematica (2024)https://hdl.handle.net/11420/46828The 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.en1588-273X2024Akad. Kiadóhttps://creativecommons.org/licenses/by/4.0/bi-continuous semigroupFavard spaceMazur spacemixed topologyprimary 47D06secondary 46A70sun dualsun reflexiveMathematicsJournal Article10.15480/882.944210.1007/s10476-024-00014-z10.15480/882.9442Journal Article