局部有界双连续n次积分算子C群的生成元及性质

摘要

在一个带有局部凸拓扑τ的Banach空间上,提出了局部有界双连续n次积分算子C群的定义,以及局部有界双连续n次积分算子C群的生成元,证明了其若干性质.%In Banach spaces with a locally convex topological τ,the definition of locally bounded bi-continuous n-times integral operator C groups is introduced,besides that,the generators and some properties of locally bounded bi-continous n-times integrated operator C groups are proved.