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

28 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.",

author = "Vladimir Chilin and Semyon Litvinov and Adam Skalski",

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T1 - A few remarks in non-commutative ergodic theory

AU - Chilin, Vladimir

AU - Litvinov, Semyon

AU - Skalski, Adam

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N2 - 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.

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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M3 - Article

AN - SCOPUS:23844503110

SN - 0379-4024

VL - 53

SP - 331

EP - 350

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

A few remarks in non-commutative ergodic theory

Abstract

All Science Journal Classification (ASJC) codes

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