Maximal ergodic theorems for some group actions

被引：6

作者：

Hu, Ying ^{[1
,2
]}

机构：

[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France

[2] Wuhan Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 254卷 / 05期

关键词：

maximal ergodic inequalities; individual ergodic theorems; noncommutative L-p-spaces;

D O I：

10.1016/j.jfa.2007.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove maximal ergodic inequalities for a sequence of operators and for their averages in the noncommutative L-p-space. We also obtain the corresponding individual ergodic theorems. Applying these results to actions of a free group on a von Neumann algebra, we get noncommutative analogues of maximal ergodic inequalities and pointwise ergodic theorems of Nevo-Stein. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1282 / 1306

页数：25

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