On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
Studia Mathematica, Tome 136 (1999) no. 3, pp. 271-295

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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.
DOI : 10.4064/sm-136-3-271-295

Enrico Priola 1

1
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Enrico Priola. On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions. Studia Mathematica, Tome 136 (1999) no. 3, pp. 271-295. doi: 10.4064/sm-136-3-271-295

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