Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.3686
Publisher DOI: 10.1007/s00028-021-00700-7
Title: Subordination for sequentially equicontinuous equibounded C₀-semigroups
Language: English
Authors: Kruse, Karsten  
Meichsner, Jan 
Seifert, Christian  
Keywords: Bi-continuous semigroups; C-semigroups; Sequential equicontinuity; Subordination
Issue Date: 30-Apr-2021
Publisher: Springer
Source: Journal of Evolution Equations 21 (2): 2665-2690 (2021-06-01)
Abstract (english): 
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.
URI: http://hdl.handle.net/11420/9961
DOI: 10.15480/882.3686
ISSN: 1424-3202
Journal: Journal of evolution equations 
Institute: Mathematik E-10 
Document Type: Article
Project: Projekt DEAL 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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