On approximate isometries and application to stability of a functional equation

被引：7

作者：

Dong, Yunbai ^{[1
]}

机构：

[1] Wuhan Text Univ, Sch Math & Comp, Wuhan 430073, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 01期

关键词：

Stability of isometrics; Functional equations; Banach spaces; HYERS-ULAM STABILITY; BANACH-SPACES; EPSILON-ISOMETRIES; EUCLIDEAN SPACES; PERTURBATIONS;

D O I：

10.1016/j.jmaa.2015.01.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show a generalized stability of isometries between Banach spaces. Making use of this result, we prove the corresponding stability of the functional equation parallel to f(x - y)parallel to = parallel to f(x) - f(y)parallel to. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：125 / 137

页数：13

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