| 论法式超平面及有界集的直径与宏围墙 |
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| 引用本文： | 潘文熙.论法式超平面及有界集的直径与宏围墙[J].暨南大学学报,2001,22(1):18-25. |
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| 作者姓名： | 潘文熙 |
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| 作者单位： | 暨南大学数学系 |
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| 摘 要： | 建立了赋范空间法式超平面、有界集的围墙与宏围墙概念。讨论了它们与直径的密切关系，找到了宏围墙的特征条件。作出一个有界闭集奇例，它存在直径望点，但不存在一条直径，或者是直径望点都不存在，从而提供研究远距问题的基础。
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| 关 键 词： | 法式超平面 度量余线 贴支承 径望点 宏围墙 直径 有界集 赋范空间 |
| 文章编号： | 1000-9965(2001)01-0018-08 |
Study on normal hyperplanes, diameter and widest bounding walls of bounded sets |
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| PAN Wen-xi.Study on normal hyperplanes, diameter and widest bounding walls of bounded sets[J].Journal of Jinan University(Natural Science & Medicine Edition),2001,22(1):18-25. |
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| Authors: | PAN Wen-xi |
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| Abstract: | The concepts of hyperplanes and widest bounding walls (w.b.w.) of bound stes are built. Their relations with diameters are discussed. Some characteristic conditions of w.b.w. are found. A bounded closed set is contructed which exists a diametral point but no diameters or none of them. We can use those to study the problem of farthest points to a bounded set. |
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| Keywords: | normal hyperplane \ metric complement line \ adherent supporting \ diametral point \ widest bounding walls |
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