Ergodic theorems for dynamical semi-groups on operator algebras

DOI10.14492/hokmj/1381758269zbMath0426.46048OpenAlexW2020113613MaRDI QIDQ1136051

Seiji Watanabe

Publication date: 1979

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758269

zbMATH Keywords

ergodic theoremdiscrete automorphism groupsdynamical semi-groupfaithful normal invariant statequasi-local observablesultraweakly continuous one- parameter semi-group of unital normal positive linear maps

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03)

Related Items (11)

Operator algebras in statistical mechanics and noncommutative probability theory ⋮ Ergodic projection for quantum dynamical semigroups ⋮ Local ergodic theorems in symmetric spaces of measurable operators ⋮ On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup ⋮ Long-time asymptotic properties of dynamical semigroups on W*-algebras ⋮ Asymptotic behavior and eigenvalues of dynamical semi-groups on operator algebras ⋮ On noncommutative weighted local ergodic theorems on \(L^p\)-spaces ⋮ A Survey on Invariance and Ergodicity of Quantum Markov Semigroups ⋮ Almost sure convergence of iterates of contractions in noncommutative \(L_ 2\)-spaces ⋮ Recurrence and Transience of Quantum Markov Semigroups ⋮ Asymptotic behaviour of time-inhomogeneous evolutions on von Neumann algebras

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