| Mazur交性质 |
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| 引用本文： | 张小凤,陈丽珍.Mazur交性质[J].数学研究,2013(1):72-79. |
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| 作者姓名： | 张小凤 陈丽珍 |
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| 作者单位： | 华侨大学厦门工学院;华侨大学数学科学学院 |
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| 基金项目： | 华侨大学科研基金资助项目(12BS222) |
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| 摘 要： | 主要考虑关于Mazur交性质的问题．我们通过赋范半群的对偶，给出了一个赋范空间只有平凡Mazur集白々等价刻画．另外，我们还讨论乘积空间对Mazur交性质的继承性，对Sersouri和Roy的结论作了一定的改进，将范数推广至更一般的情形．
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| 关 键 词： | 赋范半群 Mazur交性质 w-可凹点 半可凹点 w-强暴露点 |
The Mazur Intersection Property |
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| Zhang Xiaofeng,Chen Lizhen.The Mazur Intersection Property[J].Journal of Mathematical Study,2013(1):72-79. |
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| Authors: | Zhang Xiaofeng Chen Lizhen |
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| Institution: | 1.Xiamen Institute of Technology,Huaqiao University,Xiamen Fujian 361021; 2.School of Mathematical Sciences,Huaqiao University,Quanzhou Fujian 362021) |
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| Abstract: | This dissertation mainly concerns with the Mazur intersection problem. Based oil the dual of the normed semigroup, we give a characterisation of a norined space with only trivial Mazur sets. We also consider the inheriting property of product spaces sat- isfying the Mazur intersection property, we improve Sersouri and Roy＇s conclusions to a more generM case of norm. |
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| Keywords: | The normed semigroup Mazur intersection property w＊ denting point Semi-denting point w＊ Strongly exposed point |
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