On the A. D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem

被引：29

作者：

Rassias, TM ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 04期

关键词：

Aleksandrov problem; Mazur-Ulam theorem; isometry; Euclidean metric; sphere; Banach space;

D O I：

10.1016/S0362-546X(01)00381-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article some relations between linearity and isometry are investigated in the spirit of the problem of A. D. Aleksandrov and the Mazur-Ulam theorem for mappings which preserve some distance.

引用

页码：2597 / 2608

页数：12

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