| 关于取值于局部凸空间中集值映射的积分 |
| |
| 引用本文： | 薛小平.关于取值于局部凸空间中集值映射的积分[J].系统科学与数学,1998,18(2):147-153. |
| |
| 作者姓名： | 薛小平 |
| |
| 作者单位： | 哈尔滨工业大学教学系!哈尔滨，150001，中国科学院数学研究所!北京，100080 |
| |
| 摘 要： | 本文引进了一类集值映射的积分，研究了这种积分的若干性质．在此基础上，讨论了这种积分与抽象函数的Riemann积分、Bochner积分和Petits积分的关系．
|
| 关 键 词： | 集值映射 可测 积分 局部凸 |
ON THE INTEGRALS OF SET-VALUED MAPPING IN LOCALLY CONVEX SACES |
| |
| Xue Xiaoping.ON THE INTEGRALS OF SET-VALUED MAPPING IN LOCALLY CONVEX SACES[J].Journal of Systems Science and Mathematical Sciences,1998,18(2):147-153. |
| |
| Authors: | Xue Xiaoping |
| |
| Institution: | (Department of Mathematics, Harbin institute of Technology, Harbin 150001)Zhang Bo(Institute of Mathematics, Academia Sinica, Beijing 100080) |
| |
| Abstract: | in this paper, we introduce a kind of integrals of set-valued mapping andinvestigate their properties. We also discuss the relations between this kind of integrals andRiemann integral,Bochner integral, and Pettis integral of abstract functions. |
| |
| Keywords: | Set-valued mapping measurability integral locally convex space |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
