| 广义分解定理与两个不等式 |
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| 引用本文： | 曹正军,刘丽华. 广义分解定理与两个不等式[J]. 数学年刊A辑(中文版), 2005, 0(2) |
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| 作者姓名： | 曹正军 刘丽华 |
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| 作者单位： | 中国科学院数学与系统科学研究院系统所数学机械化重点实验室，上海交通大学数学系 北京 100080，上海 200240 |
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| 摘 要： | 本文给出了Banach空间广义分解定理的一个初等证明,并利用它来证明两个对称不等式.这是首次在Banach空间获得这样的不等式.
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| 关 键 词： | 度量投影 广义投影 基本变分原理 广义分解定理 |
THE GENERALIZED DECOMPOSITION THEOREM AND TWO SYMMETRIC INEQUALITIES |
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| CAO Zhengjun LIU Lihua Key Lab of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chineso Academy of Sciences,Beijing ,China. THE GENERALIZED DECOMPOSITION THEOREM AND TWO SYMMETRIC INEQUALITIES[J]. Chinese Annals of Mathematics, 2005, 0(2) |
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| Authors: | CAO Zhengjun LIU Lihua Key Lab of Mathematics Mechanization Academy of Mathematics Systems Science Chineso Academy of Sciences Beijing China |
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| Affiliation: | CAO Zhengjun LIU Lihua Key Lab of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chineso Academy of Sciences,Beijing 100080,China. Department of Mathathematics,Shanghai Jiaotong Univerisity,Shanghai 200240,China. |
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| Abstract: | This paper gives a preliminary proof of the generalized decomposition theorem in Ba-nach spaces, and shows two symmetric inequalities. It's the first time to get these results. |
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| Keywords: | Metric projection Generalized projection. Basic variational principle for the generalized projection Generalized decomposition |
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