Mean Ergodic Theorems for Bi-continuous Semigroups

Details Mean Ergodic Theorems for Bi-continuous Semigroups Mean Ergodic Theorems for Bi-continuous Semigroups

2009-12-22

arxiv.org/abs/0912.4488v1

Mathematics

Functional Analysis

Scientific paper

In this paper we study the main properties of the Ces\`aro means of bi-continuous semigroups, introduced and studied by K\"{u}hnemund in [24]. We also give some applications to Feller semigroups generated by second-order elliptic differential operators with unbounded coefficients in $C_b(\R^N)$ and to evolution operators associated with nonautonomous second-order differential operators in $C_b(\R^N)$ with time-periodic coefficients.

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