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.