ON LINEAR EXTENSION OF 1-LIPSCHITZ MAPPING FROM HILBERT SPACE INTO A NORMED SPACE  

作　　者：王瑞东 

机构地区：[1]Department of Mathematics,Tianjin University of Technology

出　　处：《Acta Mathematica Scientia》2010年第1期161-165,共5页数学物理学报（B辑英文版）

基　　金：Supported by NSFC (10871101);the Doctoral Programme Foundation of Institution of Higher Education (20060055010)

摘　　要：In this article, we prove that an into 1-Lipschitz mapping from the unit sphere of a Hilbert space to the unit sphere of an arbitrary normed space, which under some conditions, can be extended to be a linear isometry on the whole space.In this article, we prove that an into 1-Lipschitz mapping from the unit sphere of a Hilbert space to the unit sphere of an arbitrary normed space, which under some conditions, can be extended to be a linear isometry on the whole space.

关 键 词：Isometric extension Tingley＇ problem Hilbert space 

分 类 号：O177[理学—数学]