Г-顺从群和Banach模

Γ-Amenable Group and Banach Module

设Ｇ是局部紧群，Г是Ｇ×Ｇ中的一个闭子群．在本文中，定义Ｌ∞（Ｇ）为左ＢａｎａｃｈＬ１（Г）一模，给出Ｇ为Г－顺从群的一个充分必要条件和关于Ｕ（Ｇ，Г）空间的一个因子分解定理．

Let G be a locally compact group and Γ be a closed subgroup of G×G. In this paper L∞ (G) constitutes a left Banach L1 (Γ)-module. A necessary and sufficient condition of Γ-amenable is given and a factorization theorem is obtained.