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Positivity of Perturbed Ornstein-Uhlenbeck Semigroups on Cb(H)

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Abstract

In this paper we further develop the abstract theory of bi-continuous semigroups by combining perturbation and approximation techniques. The results are then applied to show the positivity for a class of perturbed Ornstein-Uhlenbeck semigroups on the Banach lattice Cb(H) of bounded continuous functions on a separable Hilbert space H.

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Correspondence to Abdelhadi Es-Sarhir or Bálint Farkas.

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Es-Sarhir, A., Farkas, . Positivity of Perturbed Ornstein-Uhlenbeck Semigroups on Cb(H). Semigroup Forum 70, 208–224 (2005). https://doi.org/10.1007/s00233-004-0167-4

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  • DOI: https://doi.org/10.1007/s00233-004-0167-4

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