| ISOMETRIES ON THE SPACE s |
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| 作者姓名： | 傅小红 |
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| 作者单位： | Department of |
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| 基金项目： | Supported by the National Science Foundation of China (10571090)
The Research Fund for the Doctoral Program of Higher Education (20010055013) |
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| 摘 要： | In this article, the author presents some results of the isometric linear extension from some spheres in the finite dimensional space S(n). Moreover, the author presents the representation for the onto isometric mappings in the space a. It is obtained that if V is a surjective isometry from the space s onto s with V(0)=0, then V must be real linear.
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| 关 键 词： | 等容映射 等容扩展 Mazur-Ulam理论 表征 |
| 收稿时间： | 2004-09-08 |
ISOMETRIES ON THE SPACE s |
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| Fu Xiaohong.ISOMETRIES ON THE SPACE s[J].Acta Mathematica Scientia,2006,26(3):502-508. |
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| Authors: | Fu Xiaohong |
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| Abstract: | In this article, the author presents some results of the isometric linear extension from some spheres in the finite dimensional space S(n). Moreover, the author presents the representation for the onto isometric mappings in the space a. It is obtained that if V is a surjective isometry from the space s onto s with V(0)=0, then V must be real linear. |
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| Keywords: | Isometric mapping isometric extension Mazur-Ulam theorem representation |
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