Sun dual theory for bi-continuous semigroups
Functional Analysis
2024-06-04 v4
Abstract
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.
Keywords
Cite
@article{arxiv.2203.12765,
title = {Sun dual theory for bi-continuous semigroups},
author = {Karsten Kruse and Felix L. Schwenninger},
journal= {arXiv preprint arXiv:2203.12765},
year = {2024}
}