可剖分函数与Weak~*(S)积分(英文)

Partitionable Functions and the Weak~* (S)-Integral

引进了 weak*(S) -积分的概念 ,并研究了积分 weak*(S) -与 Gel’fand积分之间的关系 .主要结果是 :当 X**是赋予 weak*拓扑的局部凸向量空间时 ,Weak*(S) -积分与

We introduce the weak *(S) integral and study the relation between the weak *(S) integral and the Gel'fand integral. We show that when X ** is a locally convex vector space endowed with weak * topology, the Gel'fand integral coincides with the weak *(S) integral.