2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126182We consider a semigroup of operators in the Banach space $C_b(H)$ of uniformly continuous and bounded functions on a separable Hilbert space $H$. In particular, we deal with semigroups that are related to solution of stochastic PDEs in $H$ and which are not, in general, strongly continuous. We prove an existence and uniqueness result for a measure valued equation involving this class of semigroups. Then we apply the result to a large class of second order differential operators in $C_b(H)$.25 pagesAnalysis of PDEsProbability47D06, 47D07, 35K90text