| 引用本文: | 覃左平.Banach空间中集值测度的表示定理.[J].国防科技大学学报,1992,14(4):66-72.[点击复制] |
| Qin Zuoping.The Expression Theorem of Set-value Measures in Banach Spaces[J].Journal of National University of Defense Technology,1992,14(4):66-72[点击复制] |
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| Banach空间中集值测度的表示定理 |
| 覃左平 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文提出了用向量测度及概率测度生成集值测度的方法，推广了文[l]的结果，并给出了有界闭凸集值测度由一族等比向量测度生成的充要条件。 |
| 关键词: 集值测度，表示定理，等比向量测度 |
| DOI： |
| 投稿日期：1991-10-07 |
| 基金项目: |
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| The Expression Theorem of Set-value Measures in Banach Spaces |
| Qin Zuoping |
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(Department of System Engineering and Applied Mathematics)
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| Abstract: |
| In this paper we put forward a method of generating set-valued measures by using vector measures and probahility measures and then develop the resules in[1]，and obtain the necessary and sufficent conditions of the closed convex set-valued measures generated by equal ratio rector measures. |
| Keywords: set-valued measure,expression theorem,equal ratio vector measures |
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