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.
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页码：125 / 135
页数：11
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