| 取值于局部凸空间中的几种有界变差函数的等价性 |
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| 引用本文： | 金祥菊,孙立民.取值于局部凸空间中的几种有界变差函数的等价性[J].茂名学院学报,2010,20(6):66-68. |
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| 作者姓名： | 金祥菊 孙立民 |
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| 作者单位： | 广东石油化工学院理学院,广东茂名525000 |
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| 摘 要： | 研究了取值于局部凸空间矢值测度的几种抽象有界变差函数的等价性,利用有界变差函数的等价性得到了两个重要的局部凸空间,桶形空间和半核空间的特性。
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| 关 键 词： | 局部凸空间 矢值测度 有界变差 桶空间 核空间 |
The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces |
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| JIN Xiang-jv,SUN Li-min.The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces[J].Journal of Maoming College,2010,20(6):66-68. |
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| Authors: | JIN Xiang-jv SUN Li-min |
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| Institution: | (College of Science,Guangdong University of Petrochemical Technology,Maoming 525000,China) |
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| Abstract: | In this paper,the equivalent properties about some kinds of bounded variations of vector measures with valued in locally convex spaces are studied.The characters of barrel space and semi-kernel space with the equivalent properties of bounded variations are obtained. |
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| Keywords: | locally convex space vector measure bounded variation barrel space semi-kernel space |
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