A few remarks in non-commutative ergodic theory

Vladimir Chilin; Semyon Litvinov; Adam Skalski

A few remarks in non-commutative ergodic theory

Vladimir Chilin, Semyon Litvinov, Adam Skalski

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

Individual ergodic theorems for free group actions and Besicovitch weighted ergodic averages are proved in the context of the bilateral almost uniform convergence in the L¹-space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point-wise convergence and the convergence in measure are discussed.

Original language	English (US)
Pages (from-to)	331-350
Number of pages	20
Journal	Journal of Operator Theory
Volume	53
Issue number	2
State	Published - Mar 2005

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

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title = "A few remarks in non-commutative ergodic theory",

abstract = "Individual ergodic theorems for free group actions and Besicovitch weighted ergodic averages are proved in the context of the bilateral almost uniform convergence in the L1-space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point-wise convergence and the convergence in measure are discussed.",

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AU - Litvinov, Semyon

AU - Skalski, Adam

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AB - Individual ergodic theorems for free group actions and Besicovitch weighted ergodic averages are proved in the context of the bilateral almost uniform convergence in the L1-space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point-wise convergence and the convergence in measure are discussed.

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JF - Journal of Operator Theory

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A few remarks in non-commutative ergodic theory

Abstract

All Science Journal Classification (ASJC) codes

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