Bernstein functions and rates in mean ergodic theorems for operator semigroups

Details Bernstein functions and rates in mean ergodic theorems for operator semigroups Bernstein functions and rates in mean ergodic theorems for operator semigroups

2011-12-01

arxiv.org/abs/1112.0286v1

Mathematics

Functional Analysis

29 pages. To appear in: Journal d'Analyse Mathematique

Scientific paper

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.

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