集值测度的积分表示  

ON THE PROPERTIES OF SET VALUED MEASURES

作　　者：李国成[1] 薛小平[2] 

机构地区：[1]北京机械工业学院基础部 [2]哈尔滨工业大学数学系

出　　处：《纯粹数学与应用数学》1997年第1期1-6,共6页Pure and Applied Mathematics

摘　　要：Ｆ．Ｈｉａｉ在集值测度有界变差的条件下，给出了Ａｕｍａｎｎ积分的Ｒ－Ｎ性质［１］，本文在集值测度为σ－有界变差［２］的条件下。This thesis set up Orlicz Pettis theorem under set valued condition for the first time, thus solved the problem of strong additive problem of set valued measurement and the sufficient and necessary condition of weak countable and additive of set valued set function ; provided the convex theorem of set valued measurement under the condition of set valued measures σ bounded variation ; obtained selection theorem of set valued measures to normal set valued measures; the compact , weak compact theorem of the value range of set valued measures were also discussed here.

关 键 词：集值测度 P-A积分 积分表示 巴拿赫空间 

分 类 号：O177.2[理学—数学]