Bernstein functions and rates in mean ergodic theorems for operator semigroups

preprint2011arXivOpen access

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)g(A), where −A-A is the generator of the semigroup and gg is a Bernstein function. In addition, we obtain some new results on Bernstein functions that are of independent interest.

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