Trotter-Kato approximations of semilinear stochastic evolution equations

This paper deals with a semilinear stochastic evolution equation in a real separable Hilbert space that is related to a McKean-Vlasov type measure-valued evolution equation. The main goal here is to study the Trotter-Kato approximations associated with mild solutions of such equations and also to deduce the convergence of the corresponding probability measures. As an application, we also investigate the dependence of such equations on a parameter.