| 关于Banach空间中集的局部接近一致光滑性(英文) |
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| 引用本文： | 陆永怀 曾六川. 关于Banach空间中集的局部接近一致光滑性(英文)[J]. 吉首大学学报(自然科学版), 1996, 17(2): 35-40 |
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| 作者姓名： | 陆永怀 曾六川 |
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| 作者单位： | [1]上海大学国际商学院 [2]上海师范大学数学系 |
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| 摘 要： | 本文，首先定义了Banach空间中奥的局部接近一致光滑性的概念。其次。讨论了集或其权是局部接近一致光滑的条件。在适当的情况，在征了局部接近一致光滑性，最后．给出了结果的应用。
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| 关 键 词： | 局部接近一致光滑性 非紧性测度 极 |
ON THE LOCALLY NEARLY UNIFORM SMOOTHNESS OF SETS IN BANACH SPACES |
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| LU YONGHUAI. ON THE LOCALLY NEARLY UNIFORM SMOOTHNESS OF SETS IN BANACH SPACES[J]. Journal of Jishou University(Natural Science Edition), 1996, 17(2): 35-40 |
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| Authors: | LU YONGHUAI |
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| Abstract: | In this paper,we first define the notion of the locally nearly uniform smootbness of sets in Banachspaces. Secondly, we discuss the conditions under which sets or their polars are locally nearly uniformlysmooth. In a suitable context,we give characterizations of the locally nearly uniform smoothness. Finally,wegive applications of our results. |
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| Keywords: | Locally nearly uniform smoothness measure of noncompactness polar |
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