A Pettis-type integral and applications to transition semigroups

Markus Kunze

Displaying similar documents to “A Pettis-type integral and applications to transition semigroups”

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

Enrico Priola (1999)

Studia Mathematica

Similarity:

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.

On the adjoint of a strongly continuous semigroup.

Bárcenas, Diómedes, Mármol, Luis Gerardo (2008)

Abstract and Applied Analysis

Similarity:

Adjoint bi-continuous semigroups and semigroups on the space of measures

Bálint Farkas (2011)

Czechoslovak Mathematical Journal

Similarity:

For a given bi-continuous semigroup ${(T (t))}_{t \geq 0}$ on a Banach space $X$ we define its adjoint on an appropriate closed subspace $X^{\circ}$ of the norm dual $X^{'}$ . Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology $σ (X^{\circ}, X)$ . We give the following application: For $Ω$ a Polish space we consider operator semigroups on the space $C_{b} (Ω)$ of bounded, continuous functions (endowed with the compact-open topology) and on the space $M (Ω)$ of bounded Baire measures (endowed with the...