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 33 条

[1] The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem
DING GuangguiSchool of Mathematical Sciences and LPMC
Science China Mathematics, 2004, (05) : 722 - 729
[2] 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
Guang Gui DING
Acta Mathematica Sinica(English Series), 2004, 20 (06) : 1089 - 1094
[3] The representation theorem of onto isometric mappings between two unit spheres ofl∞-type spaces and the application on isometric extension problem
Guanggui Ding
Science in China Series A: Mathematics, 2004, 47
[4] The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l1(Γ) Type Spaces and The Application to the Isometric Extension Problem
Ding, Guang Gui
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (06) : 1089 - 1094
[5] The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l1(Γ) Type Spaces and The Application to the Isometric Extension Problem
Guang Gui Ding
Acta Mathematica Sinica, 2004, 20 : 1089 - 1094
[6] On isometric extension problem between two unit spheres
Ding GuangGui
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (10): : 2069 - 2083
[7] On isometric extension problem between two unit spheres
Ding GuangGui School of Mathematical Sciences and LPMC
Science China Mathematics, 2009, 52 (10) : 2069 - 2083
[8] On isometric extension problem between two unit spheres
GuangGui Ding
Science in China Series A: Mathematics, 2009, 52 : 2069 - 2083
[9] The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces
Guang Gui DING
ActaMathematicaSinica, 2015, 31 (12) : 1872 - 1878
[10] The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces
Guang Gui DING
Acta Mathematica Sinica,English Series, 2015, (12) : 1872 - 1878

← 1 2 3 4 →