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• W2020100210 abstract "We characterize w*-continuous, Markovian semigroups on a von Neumann algebra M, which areφ0-symmetric w.r.t. a faithful, normal stateφ0in M*+, in terms of quadratic forms on the Hilbert space H of a standard form (M, H, P, J). We characterize also symmetric, strongly continuous, contraction semigroups on a real Hilbert space H which leave invariant a closed, convex set in H, in terms of a contraction property of the associated quadratic forms. We apply the results to give criteria of essential selfadjointness for quadratic form sums and to give a characterization of w*-continuous, Markovian semigroups on M, which commute with the modular automorphism groupσφ0t." @default.
• W2020100210 created "2016-06-24" @default.
• W2020100210 creator A5023219502 @default.
• W2020100210 date "1997-07-01" @default.
• W2020100210 modified "2023-09-23" @default.
• W2020100210 title "Dirichlet Forms and Markovian Semigroups on Standard Forms of von Neumann Algebras" @default.
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• W2020100210 doi "https://doi.org/10.1006/jfan.1996.3063" @default.
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