期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Orlicz-Pettis Theorem and Its Application of Set-Valued Measures
摘要/Abstract
摘要：
建立了集值情况的OrliczPetis定理，从而解决了集值测度的强可加问题，集值函数弱可列可加的充要条件；在集值测度σ有界变差条件下给出集值测度的凸性定理
Abstract：
Set up Orlicz-Pettis theorem under set-valued condition for the first time, thus solved the problem of strong additive problem of set-valued measurment and the safficient 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 measurement e-bounded variation.
关键词
Key words：
strong additive
;
set-valued measurement
;
e-boundety variation