Area orthogonality in normed linear spaces

被引:1
|
作者
Javier Alonso
Carlos Benítez
机构
[1] Universidad de Extremadura,Departamento de Matemáticas
来源
Archiv der Mathematik | 1997年 / 68卷
关键词
Unit Sphere; Product Space; Normed Linear Space; Existence Property; Generalize Orthogonality;
D O I
暂无
中图分类号
学科分类号
摘要
A new concept of orthogonality in real normed linear spaces is introduced. Typical properties of orthogonality (homogeneity, symmetry, additivity, ...) and relations between this orthogonality and other known orthogonalities (Birkhoff, Boussouis, Unitary-Boussouis and Diminnie) are studied. In particular, some characterizations of inner product spaces are obtained.
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页码:70 / 76
页数:6
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