局部紧致群中可测子集序列的渐近性质  

The Asymptotic Properties of the Sequences of Measurable Subsets in Locally Compact Groups

作　　者：郝凤歧 

机构地区：[1]应用数学系

出　　处：《清华大学学报（自然科学版）》1990年第3期17-22,共6页Journal of Tsinghua University(Science and Technology)

摘　　要：弱内自可靠局部紧致群的概念是可靠群概念的推广。它给出了局部紧致拓扑 群的一个新的分类，这个分类对于调和分析，算子代数等都是很有意义的。本文运用组 合及集合论方法，考虑群中可测子集的共轭比序列，给出了刻划弱内自可靠性的充分必 要条件。The concept of weakly inner amenable locally compact groups generalizes the concept amenable locally compact groups and gives a new classification of the family of locally compact groups which is significant in harmonic analysis and operator algebra. In this paper the so-called conjugate ratio sequence of measurable subsets is investigated by using combinatorial methods and set theory and the necessary and sufficient conditions for weakly inner amenability are obtained.

关 键 词：拓扑群 HAAR测度 平均 局部紧致 

分 类 号：O152.4[理学—数学]