| 函数空间的邻近及其收敛性 |
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| 引用本文： | 辛玉梅 谢鸿政. 函数空间的邻近及其收敛性[J]. 应用数学, 1999, 12(3): 64-68 |
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| 作者姓名： | 辛玉梅 谢鸿政 |
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| 作者单位： | 上海交通大学，哈尔滨工业大学 |
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| 摘 要： | 本文首先研究了函数空间的点态收敛的邻近结构，其次给出了函数空间一致收敛的邻近结构并研究了使之成为联合邻近连续的条件；最后研究了函数空间在子集族上一致收敛的邻近及其性质
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| 关 键 词： | 函数空间；收敛性；邻近结构 |
The Proximity and Convergence on Function Spaces |
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| Xin Yumei. The Proximity and Convergence on Function Spaces[J]. Mathematica Applicata, 1999, 12(3): 64-68 |
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| Authors: | Xin Yumei |
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| Abstract: | In this paper,we first consider the proximity characterizing the pointwise convergence on function space.Then we investingate the proximity of the uniform convergence on a function space and a condition under which the proximity becomes joint proximity continuous.Last we study the proximity of the uniform convergence on the functin space by a famity of subsets and its related properties. |
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| Keywords: | Function spaces Convergence Proximity |
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