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Some results about dissipativity of Kolmogorov operators

Giuseppe Da Prato, Luciano Tubaro (2001)

Czechoslovak Mathematical Journal

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Given a Hilbert space H with a Borel probability measure ν , we prove the m -dissipativity in L 1 ( H , ν ) of a Kolmogorov operator K that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.