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

作　　者：金祥菊[1] 孙立民[1] 

机构地区：[1]广东石油化工学院理学院,广东茂名525000

出　　处：《广东石油化工学院学报》2010年第6期66-68,共3页Journal of Guangdong University of Petrochemical Technology

摘　　要：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 are studied.The characters of barrel space and semi-kernel space with the equivalent properties of bounded variations are obtained.

关 键 词：局部凸空间 矢值测度 有界变差 桶空间 核空间 

分 类 号：O177[理学—数学]