无序和的一个注记  

One Note of Unordered Sums

作　　者：董建新[1] 韩凯凯[1] DONG Jian xin;HAN Kai kai(Department of Mathematics, Changzhi University, Changzhi Shanxi 046011, China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《大学数学》2017年第5期8-11,共4页College Mathematics

基　　金：国家自然科学基金青年项目(61602061);长治学院校级科研项目(201607)

摘　　要：对于任意集合上广义实数取值的非负函数,文献[1]给出了无序和的两种定义,文献[2]给出了无序和的第三种定义,文章证明了这三种定义相互等价.对于任意集合上绝对可和的复值函数,文献[1]和文献[2]分别给出了无序和的两种不同定义,文章证明了这两种定义等价.For an extended real valued non negative function on an arbitrary set.Two different definitions of the unordered sum were given in[1].A third definition of the unordered sum was given in[2],the equivalence of the three definitions was proved in this article.For an complex valued function on an arbitrary set,two different definitions of the unordered sum were separately given in[1]and[2],the equivalence of the two definitions was proved in this article.

关 键 词：无序和 计数测度 网 

分 类 号：O174[理学—数学]