APPROXIMATE ρλv-ORTHOGONALITY AND ITS PRESERVATION

被引：0
|
作者：
Abed, Mohammed Y. [1 ]
Dehghani, Mahdi [1 ]
Jahanipur, Ruhollah [1 ]
机构：
[1] Univ Kashan, Dept Pure Math, Fac Math Sci, POB 87317-53153, Kashan, Iran
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2019年 / 10卷 / 04期
关键词：
approximate orthogonality; approximate orthogonality-preserving property; norm derivatives; rho(v)(lambda)-orthogonality; smooth normed linear spaces; PRESERVING ORTHOGONALITY; OPERATORS; MAPS;
D O I：
10.1215/20088752-2019-0004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and study a generalized approximate orthogonality relation in real normed linear spaces, namely, approximate rho(v)(lambda)-orthogonality. We investigate the relation between this generalized approximate orthogonality and approximate Birkhoff-James orthogonality. In particular, we show that every approximately rho(v)(lambda)-orthogonality-preserving linear mapping is necessarily a scalar multiple of an almost isometry.
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页码：483 / 495
页数：13
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