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.
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Gerlach, M. A Tauberian theorem for strong Feller semigroups. Arch. Math. 102, 245–255 (2014). https://doi.org/10.1007/s00013-014-0619-3
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DOI: https://doi.org/10.1007/s00013-014-0619-3