关于局部凸空间值函数绝对连续性的一点注记

A Note on the Absolute Continuity of Function in Locally Convex Spaces

本文作了如下两方面的工作：１、给出局部凸空间值函数弱绝对连续的概念，讨论了它与绝对连续性之间的关系；２、给出了局部凸空间值函数绝对连续性的一个特征．

In this paper,the definition of weak absolute continuity to function in locally convex spaces is introduced and the realtionship between absolute continuity and weak absolute continuity is investigated. Then a character of absolute continuous function in locally convex spaces is given.