Sun dual theory for bi-continuous semigroups

Karsten Kruse; Felix L. Schwenninger

doi:10.48550/arXiv.2203.12765

Sun dual theory for bi-continuous semigroups

Karsten Kruse, Felix L. Schwenninger

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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
Publisher	ArXiv.org
Number of pages	34
DOIs	https://doi.org/10.48550/arXiv.2203.12765
Publication status	Published - 23 Mar 2022

Keywords

math.FA
47D06, 46A70

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10.48550/arXiv.2203.12765

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Sun Dual Theory For Bi-Continuous Semigroups
Kruse, K. & Schwenninger, F. L., Mar 2024, In: Analysis Mathematica. 50, p. 235-280 46 p.
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Sun dual theory for bi-continuous semigroups

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Sun Dual Theory For Bi-Continuous Semigroups

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