效应代数上的有界变差测度(英文)  

Bounded variation measures on effect algebras

作　　者：罗来珍[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2012年第5期582-585,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the Science and Technology Foundation of the Education Department of Heilongjiang Province(12511107);the Youth Science Foundation of Harbin University of Science and Technology(2009YF030)

摘　　要：研究定义在效应代数上取值于Banach空间的向量值测度。引入定义在效应代数上的有界变差测度、有界半变差测度和强可加测度等概念。给出定义在效应代数上的测度序列分别是一致有界变差测度和一致有界测度的等价条件,进而给出定义在效应代数上的向量值测度分别是有界变差测度和有界测度的充要条件。The vector measures valued on Banach space defined on effect algebras are mainly stud- ied. The bounded variation measure, bounded semivariation measure and strongly additive measure defined on effect algebras are introduced. The equivalent conditions of a sequence of uniformly bounded variation measures and uniformly bounded measures defined on effect algebras are presented, respectively. Furthermore, the equivalent conditions of a bounded variation measure and a bounded measure defined on effect algebras are given, resDectivelv.

关 键 词：效应代数 有界变差 向量值测度 

分 类 号：O189.1[理学—数学]