Isometries on the quasi-Banach spaces L p (0 < p < 1)

被引：4

作者：

Li, Lei ^{[1
,2
]}

Ren, Wei Yun ^{[3
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Quasi-Banach spaces; isometric mappings; unit spheres; UNIT SPHERES; EXTENSION;

D O I：

10.1007/s10114-010-8225-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the extension of isometries between the unit spheres of quasi-Banach spaces L (p) for 0 < p < 1. We give some sufficient conditions such that an isometric mapping from the the unit sphere of L (p) (A mu) into that of another L (p) (nu) can be extended to be a linear isometry defined on the whole space.

引用

页码：1519 / 1524

页数：6

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Isometries on the quasi-Banach spaces L p (0 &lt; p &lt; 1)

Isometries on the quasi-Banach spaces L p (0 < p < 1)