On isometric extension problem between two unit spheres

被引：0

作者：

Ding GuangGui School of Mathematical Sciences and LPMC

机构：

来源：

Science China Mathematics | 2009年 / 52卷 / 10期

基金：

中国国家自然科学基金;

关键词：

normed space; isometric extension; isometric mapping; 1-Lipschitz mapping;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper we introduce the isometric extension problem of isometric mappings between two unit spheres. Some important results of the related problems are outlined and the recent progress is mentioned.

引用

页码：2069 / 2083

页数：15

共 50 条

[31] On the Extension of Isometries between Unit Spheres of E and C(Ω)
Guang Gui Ding
Acta Mathematica Sinica, 2003, 19 : 793 - 800
[32] On the extension of isometries between unit spheres of E and C(Ω)
Ding, GG
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (04) : 793 - 800
[33] On extension of isometries between the positive unit spheres of (Σ lp)lq
Sun, Longfa
Sun, Yinghua
Li, Lei
Zheng, Zheming
POSITIVITY, 2024, 28 (05)
[34] ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE
Becerra-Guerrero, Julio
Cueto-Avellaneda, Maria
Fernandez-Polo, Francisco J.
Peralta, Antonio M.
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2021, 20 (01) : 277 - 303
[35] On the extension of isometries between the unit spheres of von Neumann algebras
Fernandez-Polo, Francisco J.
Peralta, Antonio M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 127 - 143
[36] A Note on Linear Extension of Into–Isometries Between Two Unit Spheres of Atomic ALp–Space (0 < p < ∞)
Guang Gui Ding
Acta Mathematica Sinica, 2006, 22 : 279 - 282
[37] THE PROBLEM OF ISOMETRIC EXTENSION ON THE UNIT SPHERE OF THE SPACE ι ∧ ιp (H) FOR 0 < p < 1
Fu, Xiaohong
ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (03): : 87 - 95
[38] Extension of isometries between the unit spheres of p-normed spaces
Jian-Zhong Xiao
Ying Lu
Annals of Functional Analysis, 2022, 13
[39] Extension of Isometries Between the Unit Spheres of Normed Space E and C (Ω)
Xi Nian Fang
Jian Hua Wang
Acta Mathematica Sinica, 2006, 22 : 1819 - 1824
[40] Extension of Isometries Between the Unit Spheres of Normed Space E and C(Ω)
Xi Nian FANG Department of Applied Mathematics
ActaMathematicaSinica(EnglishSeries), 2006, 22 (06) : 1819 - 1824

← 1 2 3 4 5 →