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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: | ![]() |
Appears in Collections: | Publications with fulltext |
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Kruse2021_Article_SubordinationForSequentiallyEq.pdf | Verlags-PDF | 368,43 kB | Adobe PDF | View/Open![]() |
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