On mappings approximately transferring relations in finite-dimensional normed spaces

被引：1

作者：

Wojcik, Pawel ^{[1
]}

机构：

[1] Pedag Univ Cracow, Inst Math, PL-30084 Krakow, Poland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 460卷

关键词：

The Birkhoff orthogonality; Isosceles orthogonality; Approximate orthogonality; Linear mappings orthogonality preserving; Stability; PRESERVING ORTHOGONALITY; STABILITY;

D O I：

10.1016/j.laa.2014.07.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the problem of stability of relations preserving property for finite-dimensional normed spaces. Moreover, we obtain similar results for other orthogonality relations. Next, we show a counterexample for infinite-dimensional normed spaces. (C) 2014 Elsevier Inc. All rights reserved.

引用

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页码：125 / 135

页数：11

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