Bernstein functions and rates in mean ergodic theorems for operator semigroups
Abstract
We present a functional calculus approach to the study of rates of decay in mean ergodic theorems for bounded strongly continuous operator semigroups. A central role is played by operators of the form $g(A)$, where $-A$ is the generator of the semigroup and $g$ is a Bernstein function. In addition, we obtain some new results on Bernstein functions that are of independent interest.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2011
- DOI:
- 10.48550/arXiv.1112.0286
- arXiv:
- arXiv:1112.0286
- Bibcode:
- 2011arXiv1112.0286G
- Keywords:
-
- Mathematics - Functional Analysis;
- Mathematics - Dynamical Systems;
- Mathematics - Probability;
- 47A60;
- 47A35 (Primary) 47D03 (Secondary)
- E-Print:
- 29 pages. To appear in: Journal d'Analyse Mathematique