不变平均和拓扑不变平均

Invariant Means and Topological Invariant Means

设 G为局部紧群 ,在一致连续函数空间 U( G)上 ,用两种方法证明左不变平均和拓扑左不变的等价性 .当 G是交换群时 。

On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.We prove that if G is also an abelian group, then the group is amenable.