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.
@article{bwmeta1.element.bwnjournal-article-smv136i3p271bwm, author = {Enrico Priola}, title = {On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions}, journal = {Studia Mathematica}, volume = {133}, year = {1999}, pages = {271-295}, zbl = {0955.47024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv136i3p271bwm} }
Priola, Enrico. On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions. Studia Mathematica, Tome 133 (1999) pp. 271-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv136i3p271bwm/
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