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A note on the Lumer-Phillips theorem for bi-continuous semigroups
Citation Link: https://doi.org/10.15480/882.4942
Publikationstyp
Journal Article
Publikationsdatum
2023-02-04
Sprache
English
Author
Kruse, Karsten
Institut
Enthalten in
Volume
41
Issue
3/4
Start Page
417
End Page
437
Citation
Zeitschrift für Analysis und ihre Anwendungen 41 (3/4): 417–437 (2022)
Publisher DOI
Scopus ID
ArXiv ID
Publisher
EMS Publ. House
Peer Reviewed
true
Given a Banach space X and an additional coarser Hausdorff locally convex topology τ on X we characterise the generators of τ-bi-continuous semigroups in the spirit of the Lumer--Phillips theorem, i.e. by means of dissipativity w.r.t. directed system of seminorms and a range condition.
Schlagworte
dissipativity
bi-continuous semigroup
Lumer-Phillips theorem
Saks space
mixed topology
DDC Class
510: Mathematik
Publication version
publishedVersion
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2206.00887.pdf
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329.04 KB
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