抽象函数黎曼可积的一个充分条件

A Sufficient Condition of Riemannian Integrability on Abstract Functions

本文在局部凸空间上给出抽象函数黎曼可积的一个充分条件:闭区间上几乎处处存在右(或左)极限的有界抽象函数是黎曼可积的。

On the locally convex spaces, the author gives a sufficient conditon of Riemannian integrability on abstract functions: In a closed interval, bounded abstract functions with right or left limits existing almost everywhore are Riemannian intergrable.