The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l1(Γ) Type Spaces and The Application to the Isometric Extension Problem

被引：0

作者：

Guang Gui Ding

机构：

[1] Nankai University,School of Mathematics Science and LPMC

来源：

Acta Mathematica Sinica | 2004年 / 20卷

关键词：

Isometric mapping; Isometric extension; 46B04; 46B20; 47A67; 51K05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we .rst derive the representation theorem of onto isometric mappings in the unit spheres of l1(Γ) type spaces, and then conclude that such mappings can be extended to the whole space as real linear isometries by using a previous result of the author.

引用

页码：1089 / 1094

页数：5

共 27 条

[1] 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
[2] The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem
Ding, GG
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (05): : 722 - 729
[3] 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
ActaMathematicaSinica(EnglishSeries), 2004, 20 (06) : 1089 - 1094
[4] 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
[5] 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
[6] The isometric extension problem in the unit spheres of l~p(Г)(p >1) type spaces
定光桂
Science China Mathematics, 2003, (03) : 333 - 338
[7] On isometric extension problem between two unit spheres
Ding GuangGui
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (10): : 2069 - 2083
[8] On isometric extension problem between two unit spheres
Ding GuangGui School of Mathematical Sciences and LPMC
Science China Mathematics, 2009, 52 (10) : 2069 - 2083
[9] On isometric extension problem between two unit spheres
GuangGui Ding
Science in China Series A: Mathematics, 2009, 52 : 2069 - 2083
[10] The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces
Guang Gui DING
ActaMathematicaSinica, 2015, 31 (12) : 1872 - 1878

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