| 赋范空间E和l~1(Γ)的单位球面间等距映射的延拓 |
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| 引用本文： | 方习年,王建华.赋范空间E和l~1(Γ)的单位球面间等距映射的延拓[J].数学学报,2008,51(1):23-28. |
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| 作者姓名： | 方习年 王建华 |
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| 作者单位： | [1]南京审计学院应用数学系,南京210029 [2]安徽师范大学数学系,芜湖241000 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目（06KJD110092） |
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| 摘 要： | 研究赋范空间E和l~1(Γ)的单位球面之间的等距映射的延拓,得到E和l~1(Γ)的单位球面之间的满等距映射可以延拓为全空间E上的实线性等距算子,从而肯定地回答了相应的Tingley问题.
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| 关 键 词： | 等距映射 等距延拓 Tingley问题 |
| 文章编号： | 0583-1431（2008）01-0023-06 |
| 收稿时间： | 2006-04-30 |
| 修稿时间： | 2007-02-28 |
Extension of Isometries Between Unit Spheres of Normed Space E and l~1(Γ) |
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| Xi Nian FANG,Jian Hua WANG.Extension of Isometries Between Unit Spheres of Normed Space E and l~1(Γ)[J].Acta Mathematica Sinica,2008,51(1):23-28. |
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| Authors: | Xi Nian FANG Jian Hua WANG |
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| Institution: | Xi Nian FANG Department of Applied Mathematics,Nanjing Audit University,Nanjing 210029,P.R.China Jian Hua WANG Department of Mathematics,Anhui Normal University,Wuhu 241000,P.R.China |
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| Abstract: | We study the extension of isometries between the unit spheres of normed space E and l~1(F).We obtain that any surjective isometry between the unit spheres of normed space E and l~1(F)can be extended to be a linear isometry on the whole space E,and give an affirmative answer to the corresponding Tingley's problem. |
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| Keywords: | isometry extension of isometry Tingley's problem |
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