The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(C^*\)-module \(l_{2}(A)\)
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Publication:2445494
DOI10.1007/S11425-013-4678-XzbMath1301.47098OpenAlexW1976847262MaRDI QIDQ2445494
Publication date: 14 April 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4678-x
Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Linear spaces of operators (47L05)
Related Items (3)
HILBERT ARENS ALGEBRA-MODULES AND SEMIGROUP ⋮ Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space ⋮ Operator-Valued Dirichlet Forms and Module Operator Markov Semigroups
Cites Work
- Espaces de Dirichlet. I: Le cas élémentaire
- Markov semigroups on \(C^*\)-bundles
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Non-commutative symmetric Markov semigroups
- Symmetric Markov processes
- Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form
- Dirichlet forms and Markov semigroups on \(C^*\)-algebras
- Dirichlet forms and symmetric Markov processes
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
- Non-symmetric Dirichlet forms on semifinite von Neumann algebras
- DIRICHLET SPACES
- Dirichlet Forms on Noncommutative Spaces
- Inner Product Modules Over B ∗ -Algebras
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