The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(W^\ast\)-module
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Publication:1949653
DOI10.1007/s10114-013-2262-5zbMath1287.47055OpenAlexW2080085029MaRDI QIDQ1949653
Publication date: 14 May 2013
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-013-2262-5
Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Markov semigroups and applications to diffusion processes (47D07) General theory of von Neumann algebras (46L10) Linear spaces of operators (47L05)
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The equivalence of hypercontractivity and logarithmic Sobolev inequality for \(q (-1 \leq q \leq 1)\) -Ornstein-Uhlenbeck semigroup ⋮ Operator-Valued Dirichlet Forms and Module Operator Markov Semigroups
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- Inner Product Modules Over B ∗ -Algebras
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