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
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_sm_136_3_271_295,
author = {Enrico Priola},
title = {On a class of {Markov} type semigroups in spaces of uniformly continuous and bounded functions},
journal = {Studia Mathematica},
pages = {271--295},
publisher = {mathdoc},
volume = {136},
number = {3},
year = {1999},
doi = {10.4064/sm-136-3-271-295},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-136-3-271-295/}
}
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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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