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

页码：722 / 729

页数：8

共 9 条

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Ding, GG
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (04): : 479 - 483
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