On Extension of Isometries Between the Unit Spheres of Normed Space E and l^p(p>1)  

作　　者：Ji Jin YI Rui Dong WANG 

机构地区：[1]School of Mathematics, Liaocheng University, Liaocheng 252059, P. R. China [2]School of Mathematics, Nankai University, Tianjing 300071, P. R. China [3]Department of Mathematics, Tianjin University of Technology, Tianjin 300191, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第7期1139-1144,共6页数学学报（英文版）

基　　金：Supported by Natural Science Foundation of China (Grant No. 10571090);The second author is supported by NSFC (Grant No. 10571090);the Doctoral Program Foundation of Institution of Higher Education (Grant No. 20060055010)

摘　　要：In this paper, we study the extension of isometries between the unit spheres of normed space E and lP（p 〉 1）. We arrive at a conclusion that any surjective isometry between the unit sphere of normed space lP（p 〉 1） and E can be extended to be a linear isometry on the whole space lP（p 〉 1） under some condition.In this paper, we study the extension of isometries between the unit spheres of normed space E and lP（p 〉 1）. We arrive at a conclusion that any surjective isometry between the unit sphere of normed space lP（p 〉 1） and E can be extended to be a linear isometry on the whole space lP（p 〉 1） under some condition.

关 键 词：isometric mapping isometric extension strictly convex 

分 类 号：O177.3[理学—数学] O186.12[理学—基础数学]