Subordination for sequentially equicontinuous equibounded C₀-semigroups

Publikationstyp
Journal Article
Publikationsdatum
2021-04-30
Sprache
English
Author
Kruse, Karsten 
Meichsner, Jan 
Seifert, Christian orcid-logo
Institut
Mathematik E-10 
DOI
10.15480/882.3686
TORE-URI
http://hdl.handle.net/11420/9961
Lizenz
https://creativecommons.org/licenses/by/4.0/
Enthalten in
Journal of evolution equations 
Volume
21
Issue
2
Start Page
2665
End Page
2690
Citation
Journal of Evolution Equations 21 (2): 2665-2690 (2021-06-01)
Publisher DOI
10.1007/s00028-021-00700-7
Scopus ID
2-s2.0-85105413557
ArXiv ID
1802.05059
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
Projekt(e)
Projekt DEAL