紧拓扑群的顺从性和内向算子  

Amenability and introversion operators for compact group

作　　者：裘重宜 

机构地区：[1]新疆大学数学系,830046

出　　处：《新疆大学学报（自然科学版）》1997年第1期19-23,共5页Journal of Xinjiang University(Natural Science Edition)

摘　　要：本文主要讨论了紧拓扑群的左不变平均μ0与左内算子族｛Tγ∈M｝的关系：C（G）上存在不变平均μ0的充要条件是对每个f∈C（G），｛Tγ：γ∈M｝在上存在公共不动点Tμ0f.In this paper we discuss relationship between the left introversion operators {Tν:ν∈M} and the left invariant mean μ0 on C(G ) for Comact group G:C(G) has the left invariant mean po for compact group G if and only if for every f ∈ C(G) {Tν:ν∈A} have the common fixed point Tμ0f which belong to.

关 键 词：不变平均 顺从的(amenable) 不变集 左内(向)算子(Leftintroversionoperator) 

分 类 号：O189[理学—数学]