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arXiv · 1112.0286

Bernstein functions and rates in mean ergodic theorems for operator semigroups

Alexander Gomilko·Markus Haase·Yuri Tomilov
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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.

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Alexander Gomilko, Markus Haase, Yuri Tomilov. 2011-12-01. Bernstein functions and rates in mean ergodic theorems for operator semigroups. https://arxiv.org/abs/1112.0286

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