The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem

被引：44
|
作者：
Ding, GG [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2004年 / 47卷 / 05期
关键词：
isometric mapping; isometric extension;
D O I：
10.1360/03ys0049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l(infinity)-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries.
引用
收藏
页码：722 / 729
页数：8
相关论文
共 33 条
1234