Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces (Q1266272)

Let \((S(t))_{t\geq 0}\) be a \(C_{0}\)-semigroup on a Banach space \(E\) and take a positive, symmetric operator \(Q \in L(E^{*},E)\). The author studies the reproducing kernel Hilbert spaces associated with the operators \(Q_{t}:=\int_{0}^{t}S(s)QS(s)^{*}ds\). If these operators are the covariances of centered Gaussian measures \(\mu_{t}\) on \(E\), he determines their Radon-Nikodým derivatives.