| 内积H-Z-空间中的正交投影及其性质 |
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| 引用本文： | 秦宣华,杨万必.内积H-Z-空间中的正交投影及其性质[J].湖北民族学院学报(哲学社会科学版),2009,27(2). |
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| 作者姓名： | 秦宣华 杨万必 |
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| 作者单位： | 湖北民族学院理学院,湖北恩施,445000
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 引入了H-Z-空间的正交投影的概念,证明了内积H-Z-空间是一致凸Z-空间,讨论了内积H-Z-空间中的正交投影的性质,并将泛函分析学中希尔伯特空间中有关正交投影的性质移植到内积H-Z-空间之中.
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| 关 键 词： | 空间 内积空间 内积空间 正交投影 性质 |
Orthogonal Projections of Inner Product H-Z-spaces and Its Properties |
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| QIN Xuan-hua,YANG Wan-bi.Orthogonal Projections of Inner Product H-Z-spaces and Its Properties[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(2). |
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| Authors: | QIN Xuan-hua YANG Wan-bi |
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| Affiliation: | School of Science;Hubei University for Nationalities;Enshi 445000;China |
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| Abstract: | This paper introduces the concept for Orthogonal projections of Inner product H-Z-spaces and proves inner product H-Z-spaces are uniform protruding Z-spaces;it dicusses the properties of orthogonal projections on inner product H-Z-spaces,and the properties of orthogonal projections on Hilbert spaces are established in inner product H-Z-spaces. |
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| Keywords: | Z-spaces inner product Z-spaces inner product H-Z-spaces orthogonal projections property |
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