| 矢值Banach序列空间ss(E)的端点和强暴露点 |
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| 引用本文： | 任丽伟,冯国臣. 矢值Banach序列空间ss(E)的端点和强暴露点[J]. 数学杂志, 2005, 25(2): 160-166 |
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| 作者姓名： | 任丽伟 冯国臣 |
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| 作者单位： | 北方交通大学理学院数学系,北京,100044 |
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| 摘 要： | 本文讨论赋序列范数的矢值Banach序列空间ss(E)的几何性质．利用SS和SS(E)的关系刻化了ss(E)的端点和强暴露点，给出了它们的判据，并推广了lp(E)的结果．
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| 关 键 词： | 矢值序列空间 端点 强暴露点 |
| 文章编号： | 0255-7797(2005)02-0160-07 |
EXTREME POINTS AND STRONGLY EXPOSED POINTS OF ss(E) IN VECTOR-VALUED BANACH SEQUENCE SPACES |
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| REN Li-wei,FENG Guo-chen. EXTREME POINTS AND STRONGLY EXPOSED POINTS OF ss(E) IN VECTOR-VALUED BANACH SEQUENCE SPACES[J]. Journal of Mathematics, 2005, 25(2): 160-166 |
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| Authors: | REN Li-wei FENG Guo-chen |
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| Abstract: | This paper continuously study geometric properties of vector-valued Banach sequence spaces ss(E) equipped with sequential norms. Here, using the relation between ss and ss(E), we characterize extreme points and strongly exposed points of ss(E), give their criteria, and generalize the results of lp(E). |
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| Keywords: | vector-valued sequence space extreme point strongly exposed point |
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