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Subordination for sequentially equicontinuous equibounded C₀-semigroups
Citation Link: https://doi.org/10.15480/882.3686
Publikationstyp
Journal Article
Publikationsdatum
2021-04-30
Sprache
English
Author
Institut
TORE-URI
Enthalten in
Volume
21
Issue
2
Start Page
2665
End Page
2690
Citation
Journal of Evolution Equations 21 (2): 2665-2690 (2021-06-01)
Publisher DOI
Scopus ID
2-s2.0-85105413557
ArXiv ID
Publisher
Springer
We consider operators A on a sequentially complete Hausdorff locally convex space X such that - A generates a (sequentially) equicontinuous equibounded C₀-semigroup. For every Bernstein function f we show that - f(A) generates a semigroup which is of the same ‘kind’ as the one generated by - A. As a special case we obtain that fractional powers - Aα, where α∈ (0 , 1) , are generators.
Schlagworte
Bi-continuous semigroups
C-semigroups
Sequential equicontinuity
Subordination
DDC Class
510: Mathematik