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- W2962912305 abstract "We prove that any weak* continuous semigroup (Tt)t⩾0 of factorizable Markov maps acting on a von Neumann algebra M equipped with a normal faithful state can be dilated by a group of Markov ⁎-automorphisms analogous to the case of a single factorizable Markov operator, which is an optimal result. We also give a version of this result for strongly continuous semigroups of operators acting on noncommutative Lp-spaces and examples of semigroups to which the results of this paper can be applied. Our results imply the boundedness of the McIntosh's H∞ functional calculus of the generators of these semigroups on the associated noncommutative Lp-spaces generalising some previous work from Junge, Le Merdy and Xu. Finally, we also give concrete dilations for Poisson semigroups which are even new in the case of Rn." @default.
- W2962912305 created "2019-07-30" @default.
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- W2962912305 date "2019-04-01" @default.
- W2962912305 modified "2023-10-16" @default.
- W2962912305 title "Dilations of semigroups on von Neumann algebras and noncommutative L -spaces" @default.
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- W2962912305 doi "https://doi.org/10.1016/j.jfa.2018.11.013" @default.
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