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| 可测集值映射的Egorov定理 | |
| 引用本文： | 姜立志,张清年,李丽霞,贾立新.可测集值映射的Egorov定理[J].河北师范大学学报(自然科学版),2000,24(1):8-10. |
| 作者姓名： | 姜立志 张清年 李丽霞 贾立新 |
| 作者单位： | 1. 河北师范大学研究生处,河北石家庄,050016 2. 河北科技大学邯郸分院数学教研室,河北邯郸,056004 3. 河北科技大学基础部,河北石家庄,050018 4. 邯郸市和平东小学数学教研室,河北邯郸,056002 |
| 摘 要： | 讨论了取值可分自反Banach空间中可测集值映射序列的Egorov型收敛定理,在几种不同拓扑收敛意义下,刻画了可测集值映射序列的几乎处处收敛. |
| 关 键 词： | 可测集值映射 K－M收敛 Egorov定理 巴拿赫空间 |
| 文章编号： | 1000-5854(2000)01-0008-03 |
On Egorov Theorem for Measurable Set-Valued Mapping |
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| JIANG Li-zhi,ZHANG Qing-nian,LI Li-xia,JIA Li-xin.On Egorov Theorem for Measurable Set-Valued Mapping[J].Journal of Hebei Normal University,2000,24(1):8-10. | |
| Authors: | JIANG Li-zhi ZHANG Qing-nian LI Li-xia JIA Li-xin |
| Institution: | JIANG Li-zhi (Department of Post Graduate, Hebei Normal University,Shijiazhuang 050016,China)ZHANG Qing-nian (Mathematics Teaching Division,Hebei Seience and Technology University Handan Branch,Handan 056004 ,China) LI Li-xia (Department of Basic Science,Hebei Science and Technology University Shijinzhuang 050018 .China)JIA Li-xin (Mathematics Teaching Division, Handan Heping-dong Primary School ,Handan 056002,China) |
| Abstract: | Egorov convergence theorem for measurable set-valued mapping's sequence in separable and self-reflexive Banach space was studied under various topological convergent meanings,almost ev erywhere convergent property of measurable set valued mapping sequence was discussed. |
| Keywords: | measurable set-valued mapping K M convergence almost everywhere |
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