Sun Dual Theory For Bi-Continuous Semigroups

K. Kruse; F. L. Schwenninger

doi:10.1007/s10476-024-00014-z

Sun Dual Theory For Bi-Continuous Semigroups

K. Kruse^*, F. L. Schwenninger

^*Corresponding author for this work

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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.

Original language	English
Pages (from-to)	235-280
Number of pages	46
Journal	Analysis Mathematica
Volume	50
Early online date	28 Mar 2024
DOIs	https://doi.org/10.1007/s10476-024-00014-z
Publication status	Published - Mar 2024

Keywords

bi-continuous semigroup
Favard space
Mazur space
mixed topology
sun dual
sun reflexive

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Sun Dual Theory For Bi-Continuous Semigroups

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Keywords

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Sun dual theory for bi-continuous semigroups

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