On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions

Enrico Priola

Studia Mathematica (1999)

  • Volume: 136, Issue: 3, page 271-295
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Priola, Enrico. "On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions." Studia Mathematica 136.3 (1999): 271-295. <http://eudml.org/doc/216671>.

@article{Priola1999,
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.},
author = {Priola, Enrico},
journal = {Studia Mathematica},
keywords = {semigroups of bounded linear operators; -semigroups; generators of Markov transition semigroups; Ornstein-Uhlenbeck semigroups},
language = {eng},
number = {3},
pages = {271-295},
title = {On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions},
url = {http://eudml.org/doc/216671},
volume = {136},
year = {1999},
}

TY - JOUR
AU - Priola, Enrico
TI - On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions
JO - Studia Mathematica
PY - 1999
VL - 136
IS - 3
SP - 271
EP - 295
AB - 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.
LA - eng
KW - semigroups of bounded linear operators; -semigroups; generators of Markov transition semigroups; Ornstein-Uhlenbeck semigroups
UR - http://eudml.org/doc/216671
ER -

References

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