Linear mappings approximately preserving orthogonality

被引：62

作者：

Chmielinski, J ^{[1
]}

机构：

[1] Akad Pedag W Krakowie, Inst Matemat, PL-30084 Krakow, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 304卷 / 01期

关键词：

orthogonality preserving mappings; approximate orthogonality;

D O I：

10.1016/j.jmaa.2004.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the class of linear mappings, between real or complex inner product spaces, such that for each two orthogonal vectors in the domain their values are epsilon-thogonal in the target space. By epsilon-orthogonality (0 <=, E <= 1) we mean the relation u perpendicular to(epsilon) v double left right arrow vertical bar < u vertical bar v >vertical bar <= epsilon parallel to u parallel to parallel to v parallel to (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：158 / 169

页数：12

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