Uniform equicontinuity of sequences of measurable operators and non-commutative ergodic theorems

DOI10.1090/S0002-9939-2011-11483-7zbMath1279.46048arXiv1012.3425MaRDI QIDQ2845055

Semyon Litvinov

Publication date: 22 August 2013

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

Full work available at URL: https://arxiv.org/abs/1012.3425

zbMATH Keywords

semifinite von Neumann algebrauniform equicontinuitynon-commutative ergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Noncommutative measure and integration (46L51)

Related Items (11)

Individual ergodic theorems in noncommutative Orlicz spaces ⋮ Ergodic theorems in fully symmetric spaces of τ-measurable operators ⋮ Almost uniform convergence in the noncommutative Dunford-Schwartz ergodic theorem ⋮ A non-commutative Wiener-Wintner theorem ⋮ Local ergodic theorems in symmetric spaces of measurable operators ⋮ Noncommutative weighted individual ergodic theorems with continuous time ⋮ Noncommutative strong maximals and almost uniform convergence in several directions ⋮ On individual ergodic theorems for semifinite von Neumann algebras ⋮ Ergodic theorems in Banach ideals of compact operators ⋮ Some noncommutative subsequential weighted individual ergodic theorems ⋮ Noncommutative Wiener–Wintner type ergodic theorems

Cites Work

• A generalized Schwarz inequality and algebraic invariants for operator algebras
• A non-commutative extension of abstract integration
• Noncommutative maximal ergodic theorems
• Ergodic Theorems for Semifinite Von Neumann Algebras-I
• Banach principle in the space of τ-measurable operators
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