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

[21] On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of ALp-spaces (p > 2)
Guang Gui Ding
Acta Mathematica Sinica, English Series, 2010, 26 : 331 - 336
[22] The isometric extension of an into mapping from the unit sphere S(l∞(2)) to S(L1(μ))
Ding, Guang Gui
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1721 - 1724
[23] On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of AL p -spaces (p > 2)
Ding, Guang Gui
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (02) : 331 - 336
[24] Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces
Ding, Guang Gui
Li, Jian Ze
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (04) : 513 - 518
[25] Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces
Guang Gui DING
Jian Ze LI
Acta Mathematica Sinica,English Series, 2019, (04) : 513 - 518
[26] Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces
Guang Gui DING
Jian Ze LI
ActaMathematicaSinica, 2019, 35 (04) : 513 - 518
[27] Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces
Guang Gui Ding
Jian Ze Li
Acta Mathematica Sinica, English Series, 2019, 35 : 513 - 518

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