A Mazur-Ulam theorem in non-Archimedean normed spaces

被引：52
作者：
Moslehian, Mohammad Sal [1 ,2 ]
Sadeghi, Ghadir [1 ,3 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad 91775, Iran
[2] Ferdowsi Univ Mashhad, CEAAS, Mashhad, Iran
[3] BMRG, Mashhad, Iran
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 10期
关键词：
Isometry; Mazur-Ulam theorem; p-adic numbers; Non-Archimedean field; Non-Archimedean normed space; Spherically complete;
D O I：
10.1016/j.na.2007.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classical Mazur-Ulam theorem which states that every surjective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we establish a Mazur-Ulam theorem in the non-Archimedean strictly convex normed spaces. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3405 / 3408
页数：4
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