On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
Volume 136 / 1999
Studia Mathematica 136 (1999), 271-295
DOI: 10.4064/sm-136-3-271-295
Abstract
We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.
