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The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l^1(Г) Type Spaces and The Application to the Isometric Extension Problem

The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l^1(Г) Type Spaces and The Application to the Isometric Extension Problem

作     者:Guang Gui DING 

作者机构:School of Mathematics Science and LPMCNankai University 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2004年第20卷第6期

页      面:1089-1094页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Science Foundation of China(19971046) the Doctoral Programme Foundation of Ministry of Education of China 

主  题:Isometric mapping Isometric extension 

摘      要:In this paper,we first derive the representation theorem of onto isometric mappings in theunit spheres of l~1(F) type spaces,and then conclude that such mappings can be extended to the wholespace as real linear isometrics by using a previous result of the author.

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