English

Mean Ergodic Theorems for Bi-continuous Semigroups

Functional Analysis 2009-12-23 v1

Abstract

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 Cb(RN)C_b(\R^N) and to evolution operators associated with nonautonomous second-order differential operators in Cb(RN)C_b(\R^N) with time-periodic coefficients.

Keywords

Cite

@article{arxiv.0912.4488,
  title  = {Mean Ergodic Theorems for Bi-continuous Semigroups},
  author = {A. A. Albanese and L. Lorenzi and V. Manco},
  journal= {arXiv preprint arXiv:0912.4488},
  year   = {2009}
}
R2 v1 2026-06-21T14:27:27.619Z