取值于局部凸空间中的几种有界变差函数的等价性

The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces

研究了取值于局部凸空间矢值测度的几种抽象有界变差函数的等价性,利用有界变差函数的等价性得到了两个重要的局部凸空间桶形空间和半核空间的特性。

In this paper, the equivalent properties about some kinds of bounded variations of vector measures with valued in locally convex spaces has been studied, the characters of barrel space and semi - kernel space with the equivalent properties of bounded variations were obtained.