| 距离空间上B－值测度空间的弱拓扑 |
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| 引用本文： | 王汉兴. 距离空间上B－值测度空间的弱拓扑[J]. 中山大学学报(自然科学版), 1994, 0(1) |
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| 作者姓名： | 王汉兴 |
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| 作者单位： | 中山大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 一可测空间上取值于Ｂａｎａｃｈ空间的测度称为Ｂ－值测度，其全体构成一线性空间，简称为Ｂ－值测度空间，本文给出了一类距离空间上Ｂ－值测度空间分别为可分距离空间、紧距离空间的充要条件，这些结果是实值测度理论中相应问题的拓广．
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| 关 键 词： | 测度，概率测度，B－值测度，可分空间，紧致空间 |
Weak Topology on the Space of Banach Space Valued Measures on the Metric Space |
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| Wang Hanxing. Weak Topology on the Space of Banach Space Valued Measures on the Metric Space[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1994, 0(1) |
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| Authors: | Wang Hanxing |
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| Abstract: | The properties of the weak topology on the space of Banach space valuedmeasures have been reserched. Sufficient and necessary conditions that the weak topo-logical space can be a seperable metric space,and that the weak topological space can beacompact metric space,are given respectively in theoreml and theorem 2.Similar re-sults about probability meaures are thus generalized. |
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| Keywords: | probabity measures vector measures seperable spaces compact spaces |
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