| THE ISOMETRIC EXTENSION OF AN INTO MAPPING FROM THE UNIT SPHERE S[e（Γ）] TO THE UNIT SPHERE S（E） |
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| 引用本文： | 定光桂.THE ISOMETRIC EXTENSION OF AN INTO MAPPING FROM THE UNIT SPHERE S[e（Γ）] TO THE UNIT SPHERE S（E）[J].数学物理学报(B辑英文版),2009,29(3):469-479. |
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| 作者姓名： | 定光桂 |
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| 作者单位： | School of Mathematical Sciemces and LPMC, Nankai University, Tianjin 300071, China |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China （10871101） and the Research Fund for the Doctoral Program of Higher Education （20060055010） |
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| 摘 要： | This is such a article to consider an ＂into＂ isometric mapping between two unit spheres of two infinite dimensional spaces of different types. In this article, we find a useful condition （using the Krein-Milman property） under which an into-isometric mapping from the unit sphere of e（Γ） to the unit sphere of a normed space E can be linearly isometric extended.
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| 关 键 词： | 单位球面 等距映射 无限维空间 单元 英文 电子商务 线性等距 |
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