Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups

Jan van Neerven, Enrico Priola

Let $E$ be a real Banach space. We study the Ornstein-Uhlenbeck semigroup $P(t)$ associated with the Ornstein-Uhlenbeck operator $$ Lf(x) = \frac12 {\rm Tr} Q D^2 f(x) + <Ax, Df(x)…