Continuity properties and Trotter's formula for the transition semigroups corresponding to Markov processes are discussed. Applications to stochastic invariance are given as well. The research was motivated by the semigroup approach to invariance proposed by P. Kotelenez in [9]
Tessitore, G., Zabczyk, J. (2001). Trotter's formula for transition semigroups. SEMIGROUP FORUM, 63(2), 114-126 [10.1007/s002330010047].
Trotter's formula for transition semigroups
TESSITORE, GIANMARIO;
2001
Abstract
Continuity properties and Trotter's formula for the transition semigroups corresponding to Markov processes are discussed. Applications to stochastic invariance are given as well. The research was motivated by the semigroup approach to invariance proposed by P. Kotelenez in [9]
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