Transition Semigroups of Banach Space Valued Ornstein-Uhlenbeck Processes

Ben Goldys, Jan van Neerven

We investigate the transition semigroup of the solution to a stochastic evolution equation $dX(t)=AX(t)dt+d{W}_H(t)$, $t\ge 0,$ where $A$ is the generator of a $C_0$-semigroup $S$…