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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
Date Issued
2022
Sprache
English
Author(s)
Institut
TORE-DOI
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.
Subjects
dissipativity
bi-continuous semigroup
Lumer-Phillips theorem
Saks space
mixed topology
DDC Class
510: Mathematik
Publication version
publishedVersion
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Name
2206.00887.pdf
Size
329.04 KB
Format
Adobe PDF