Almost sure convergence of iterates of contractions in noncommutative \(L_ 2\)-spaces

DOI10.1007/BF02571233zbMath0739.46048OpenAlexW4254223131MaRDI QIDQ1814591

Ryszard Jajte

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174166

zbMATH Keywords

faithful normal stateasymptotic behaviour of Schwarz maps in von Neumann algebrasindividual ergodic theory of positive contractions in von Neumann algebrasopen irreversible quantum dynamical systems

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Cites Work

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• On the generators of quantum dynamical semigroups
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• Pointwise convergence theorems in \(L_ 2\) over a von Neumann algebra
• Iterates of Conditional Expectation Operators
• Quasi-Uniform Ergodic Theorems in von Neumann Algebras
• Ergodic theorems for semifinite von Neumann algebras: II
• SOME PROBLEMS OF NON-COMMUTATIVE ERGODIC THEORY
• Ergodic Theorems for Semifinite Von Neumann Algebras-I
• Functional Operators (AM-21), Volume 1

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