Maximal ergodic theorems in non-commutative \(L_p\)-spaces

DOI10.1016/S1631-073X(02)02367-1zbMath1030.46082MaRDI QIDQ1600166

Quanhua Xu, Marius Junge

Publication date: 1 April 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Noncommutative function spaces (46L52)

Related Items (6)

\({\mathcal{R}}\)-diagonal dilation semigroups ⋮ On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces ⋮ Functional calculus and square functions in noncommutative \(L^{p}\)-spaces. ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements ⋮ On ergodic theorems for free group actions on noncommutative spaces ⋮ Noncommutative maximal ergodic theorems

Cites Work

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• Strong limit theorems in non-commutative probability
• Ergodic theorems for convex sets and operator algebras
• Ergodic theorems for noncommutative dynamical systems
• A non-commutative individual ergodic theorem
• \(q\)-Gaussian processes: Non-commutative and classical aspects
• Martingales on von Neumann algebras
• Ergodic Theorems for Semifinite Von Neumann Algebras-I
• ULTRACONTRACTIVITY AND STRONG SOBOLEV INEQUALITY FOR q-ORNSTEIN–UHLENBECK SEMIGROUP (-1 < q < 1)
• Doobs inequality for non-commutative martingales
• ON THE MAXIMAL ERGODIC THEOREM
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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