Sun dual theory for bi-continuous semigroups

Kruse, Karsten; Schwenninger, Felix

doi:10.15480/882.9442

Sun dual theory for bi-continuous semigroups

Citation Link: https://doi.org/10.15480/882.9442

Basic Data Publication

Publikationstyp

Journal Article

Date Issued

2024-03-28

Sprache

English

Author(s)

TORE-DOI

TORE-URI

https://hdl.handle.net/11420/46828

Publisher Version

Journal

Analysis mathematica

Volume

50

Issue

1

Start Page

235

End Page

280

Citation

Analysis Mathematica 50 (1): 235-280 (2024)

Publisher DOI

10.1007/s10476-024-00014-z

Scopus ID

2-s2.0-85188908238

Publisher

Akadémiai Kiadó

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.

Content

Subjects

bi-continuous semigroup

Favard space

Mazur space

mixed topology

primary 47D06

secondary 46A70

sun dual

sun reflexive

DDC Class

510: Mathematics

Files

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https://creativecommons.org/licenses/by/4.0/

Publication version

publishedVersion

Download

Name

s10476-024-00014-z(1).pdf

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Main Article

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678.32 KB

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