| 两个同类的E_((2))型空间线性等距映射的表现定理 |
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| 引用本文： | 梁晓斌,黄时祥. 两个同类的E_((2))型空间线性等距映射的表现定理[J]. 数学物理学报(A辑), 2010, 30(4): 1088-1093 |
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| 作者姓名： | 梁晓斌 黄时祥 |
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| 作者单位： | 梁晓斌(上饶师范学院数学系,江西上饶,334000;安徽师范大学数学系,安徽芜湖,241000);黄时祥(上饶师范学院数学系,江西上饶,334000) |
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| 摘 要： | 该文得到了两个同类的E_((2))型空间单位球面间等距线性算子的表现定理,这是首次在非具体范数的情形下取得此类结果.
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| 关 键 词： | 等距映射 表现定理 E(2)型空间 |
| 收稿时间： | 2008-03-19 |
| 修稿时间： | 2009-09-22 |
On the Representation |of Linear Isometries between E(2) Type Real Space |
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| LIANG Xiao-Bin,HUANG Shi-Xiang. On the Representation |of Linear Isometries between E(2) Type Real Space[J]. Acta Mathematica Scientia, 2010, 30(4): 1088-1093 |
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| Authors: | LIANG Xiao-Bin HUANG Shi-Xiang |
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| Affiliation: | 1.Department of Mathematics, Shangrao Normal College, Jiangxi Shangrao 334000;2.Department of Mathematics, Anhui Normal University, Anhui Wuhu |241000 |
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| Abstract: | In this paper, the authors give a representation of surjective isometries between the unit spheres of E(2) type real space if these isometries can be extended to be real linear isometries on the whole space. |
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| Keywords: | Isometryzz Representationzz E(2) spacezz |
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