On mixing and completely mixing properties of positive 𝐿¹-contractions of finite von Neumann algebras

DOI10.1090/S0002-9939-05-08072-XzbMath1088.47007arXivmath/0510336OpenAlexW1717703384MaRDI QIDQ5713205

Seyit Temir, Farrukh Mukhamedov, Hasan Akin

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510336

zbMATH Keywords

von Neumann algebramixingfaithful normal finite tracecompletely mixingnoncommutative \(L^1\) -space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55)

Related Items (1)

Generalized Dobrushin coefficients on Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong limit theorems in non-commutative probability
• Ergodic theorems. With a supplement by Antoine Brunel
• Notes on non-commutative integration
• Frobenius theory for positive maps of von Neumann algebras
• Stationary states of quantum dynamical semigroups
• Additive mappings on von Neumann algebras preserving absolute values
• Transience and recurrence of quantum Markov semigroups
• Invariant densities and mean ergodicity of Markov operators
• Quantum dynamical semigroups in strongly finite von Neumann algebras
• Dobrushin coefficients of ergodicity and asymptotically stable \(L^1\)-contractions
• On operator convergence in Hilbert space and in Lebesgue space
• A Krengel-type theorem for finitely-generated nilpotent groups
• On the existence of stationary states for quantum dynamical semigroups
• On the mean ergodic theorem for subsequences
• Ergodic Theorems for Semifinite Von Neumann Algebras-I
• Modulated and subsequential ergodic theorems in Hilbert and Banach spaces
• On mixing in infinite measure spaces
• On a mixing property of operators in Lp spaces
• Infinite tensor products of completely positive semigroups

This page was built for publication: On mixing and completely mixing properties of positive 𝐿¹-contractions of finite von Neumann algebras