Almost sure convergence theorems in von Neumann algebras

DOI10.1007/BF02782850zbMath0769.46041MaRDI QIDQ1196333

M. S. Goldstein, Genady Ya. Grabarnik

Publication date: 9 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

almost sure convergenceconvergence in Egorov's sensesubadditive sequences of operatorsvon Neumann algebra with a faithful normal state and a given positive linear kernel

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (9)

Ergodic type theorems for finite von Neumann algebras ⋮ Almost uniform convergence in the noncommutative Dunford-Schwartz ergodic theorem ⋮ On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ De Finetti theorems for easy quantum groups ⋮ On noncommutative weighted local ergodic theorems on \(L^p\)-spaces ⋮ On individual ergodic theorems for semifinite von Neumann algebras ⋮ A note on non-commutative ergodic theorems for actions of hyperbolic groups ⋮ Noncommutative maximal ergodic theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong limit theorems in non-commutative probability
• Pointwise convergence of martingales in von Neumann algebras
• Subadditive ergodic theory
• Ergodic theorems for convex sets and operator algebras
• Ergodic theorems for noncommutative dynamical systems
• Martingales on von Neumann algebras
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• A non-commutative extension of abstract integration
• Conditional expectation in an operator algebra. III.
• Ergodic theorems for semifinite von Neumann algebras: II
• Supermartingales on Semifinite Von Neumann Algebras
• SOME PROBLEMS OF NON-COMMUTATIVE ERGODIC THEORY
• Ergodic Theorems for Semifinite Von Neumann Algebras-I
• Analyticity in Operator Algebras

This page was built for publication: Almost sure convergence theorems in von Neumann algebras