| Banach空间中集值测度的表示定理 |
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| 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 |
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| 作者姓名： | 覃左平 |
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| 作者单位： | 国防科技大学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[1]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。
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| 关 键 词： | 集值测度 表示定理 等比向量测度 |
| 收稿时间： | 1991-10-07 |
The Expression Theorem of Set-value Measures in Banach Spaces |
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| 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 |
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| Authors: | Qin Zuoping |
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| Affiliation: | Department of Applied Mathematics and Systems Engineering |
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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. |
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| Keywords: | set-valued measure expression theorem equal ratio vector measures |
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