2021/04/30 by Karsten Kruse, Kruse, Karsten, Jan Meichsner +3
Computer Science · Mathematics · #Advanced Banach Space Theory #Bi-continuous semigroups #C-semigroups #Mathematik #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Sequential equicontinuity #Subordination
paper · pdf · doi:10.15480/882.3686
openalex publication_date 2021/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.