English

Asymptotic behavior of strong Feller semigroups

Functional Analysis 2015-03-31 v2

Abstract

We prove that a weakly ergodic, strong Feller semigroup on the space of measures converges strongly to a projection onto its fixed space. In contrast to a recent result of Gerlach we do not assume the semigroup to be stochastically continuous.

Keywords

Cite

@article{arxiv.1411.6424,
  title  = {Asymptotic behavior of strong Feller semigroups},
  author = {Markus C. Kunze},
  journal= {arXiv preprint arXiv:1411.6424},
  year   = {2015}
}

Comments

Withdrawn, due to mistake in the proof of Theorem 3.1