Abstract
This paper deals with perturbations of the Ornstein–Uhlenbeck operator on L 2 -spaces with respect to a Gaussian measure μ. We perturb the generator of the Ornstein–Uhlenbeck semigroup by a certain unbounded, non-linear drift, and show various properties of the perturbed semigroup such as compactness and positivity. Strong Feller property, existence and uniqueness of an invariant measure are discussed as well.
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