关于Riesz引理的注记 |
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引用本文: | 相中启,王少英.关于Riesz引理的注记[J].齐齐哈尔轻工业学院学报,2011(1):78-79. |
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作者姓名: | 相中启 王少英 |
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作者单位: | [1]江西渝州科技学院自动化学院,江西新余338029 [2]滨州学院数学与信息科学系,山东滨州256603 |
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基金项目: | 滨州学院青年基金资助项目(BJXYKJ0815);滨州学院“青年人才创新工程”科研项目(BZXYQNLG200725) |
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摘 要: | 研究了经典形式的Riesz引理的应用及特殊情形下Riesz引理的表述问题。利用Riesz引理给出了一个判定赋范线性空间是有限维的方法。在赋范线性空间的真子空间与有限维空间线性同胚的条件下,给出了Riesz引理的表述形式。
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关 键 词: | Riesz引理 有限维 注记 |
An remark on Riesz lemma |
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Authors: | XIANG Zhong-qi WANG Shao-ying |
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Affiliation: | 1. Department of Automation, Yuzhou College of Science and Technology, Jiangxi Xinyu 338029, China; 2. Department of Mathematics and Information Science, Binzhou University, Shandong Binzhou 256603, China ) |
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Abstract: | We study the application of the Riesz lemma and its representation under special conditions. We give a method to judge a normed linear space whether it has finite dimension through the Riesz lemma. We give a special representation of Riesz lemma under the condition that it has a subspace to be homeomorphous to a finite dimension space. |
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Keywords: | Riesz lemma finite dimension remark |
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