Sun dual theory for bi-continuous semigroups

Autor: Kruse, Karsten, Schwenninger, Felix L.
Rok vydání: 2022
Předmět:
Zdroj: Analysis Mathematica 50 (2024), 235-280
Druh dokumentu: Working Paper
DOI: 10.1007/s10476-024-00014-z
Popis: 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.
Databáze: arXiv