A Tauberian theorem for strong Feller semigroups

Abstract

We prove that a weakly ergodic, eventually strong Feller semigroup on the space of measures on a Polish space converges strongly to a projection onto its fixed space.

8 pages, 0 figures

References in corpus (3)

• A Pettis-Type Integral and Applications to Transition Semigroups
• On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators
• Mean ergodic theorems on norming dual pairs

Cited by in corpus (1)

• On the lattice structure of weakly continuous operators on the space of measures