| 无RNP Banach空间中集值测度的Radon-Nikodym定理 |
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| 引用本文： | 吴伟志,张文修.无RNP Banach空间中集值测度的Radon-Nikodym定理[J].应用概率统计,2000,16(2):208-212. |
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| 作者姓名： | 吴伟志 张文修 |
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| 作者单位： | 西安交通大学理学院信息与系统科学研究所西安 710049 |
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| 摘 要： | 自七十年代初以来关于集值测度的Radon-Nikodym导数取得了不少成果,所有这些成果中均要求所考虑的Banach空间具有RNP,本文在无RNP的Banach空间中建立了集值测度的Radon-Nikodym定理.
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| 关 键 词： | RNP 集值测度 巴拿赫空间 Radon－Nikodym定理 |
| 修稿时间： | 1999年6月14日 |
Radon-Nikodym Theorems for Set-valued Measures in Banach Space without RNP |
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| WU WEIZHI ZHANG WENXIU.Radon-Nikodym Theorems for Set-valued Measures in Banach Space without RNP[J].Chinese Journal of Applied Probability and Statisties,2000,16(2):208-212. |
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| Authors: | WU WEIZHI ZHANG WENXIU |
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| Abstract: | Since the early seventies, there have been many results about the Radon-Nikodym derivatives of set-valued measures, but all the results were gained in Banach spaces with RNP. In this paper, we establish the Radon-Nikodym theorems for set-vained measures in Banach spaces without RNP. |
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| Keywords: | RNP Set-valued measure R-N derivative vector measure |
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