Weak amenability components of L1(G)-modules, amenable groups, and an ergodic theorem

被引：0
|
作者：
Myasnikov, AG [1 ]
机构：
[1] Moscow State Bldg Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 1999年 / 66卷 / 5-6期
关键词：
amenable group; locally compact group; Banach L-1(G)-module; amenability component; topologically left invariant mean;
D O I：
10.1007/BF02674330
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Weak versions of amenability components of Banach L-1(G)-modules are considered. Using these versions. a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L-1(G)-modules to characterize amenable groups is studied.
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页码：726 / 732
页数：7
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