| 无限维Banach空间的一个特征 |
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| 引用本文： | 熊昌萍,朱军.无限维Banach空间的一个特征[J].新疆大学学报(理工版),1998,15(3):29-30. |
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| 作者姓名： | 熊昌萍 朱军 |
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| 作者单位： | 湖北民族学院数学系 |
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| 摘 要： | 证明如下结果，设Ｘ是Ｂａｎａｃｈ空间，则Ｘ是无限维的充分必要的条件是存在不含内点的非空凸集Ｂ，使得Ｂ不在任何一个闭超平面上。
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| 关 键 词： | Banach空间 Schauder基 Hamel基 闭超平面 |
A Characteristic on Infinite Dimensional Banach Space |
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| Xiong Changping,and,Zhu Jun.A Characteristic on Infinite Dimensional Banach Space[J].Journal of Xinjiang University(Science & Engineering),1998,15(3):29-30. |
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| Authors: | Xiong Changping and Zhu Jun |
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| Abstract: | In this paper,we prove a conclusion as following:The necessary and sufficient condition that Banach space is infinite dimension is that it exists nonempty convex subset B without inner point so that B is not on any closed hyperplane. |
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| Keywords: | Banach space\ Schauder base\ Hamel base\ Closed Hyperplane\ convex set\ inner point |
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