Area orthogonality in normed linear spaces

被引：6
|
作者：
Alonso, J
Benitez, C
机构：
[1] Departamento de Matemáticas, Universidad de Extremadura
来源：
ARCHIV DER MATHEMATIK | 1997年 / 68卷 / 01期
关键词：
D O I：
10.1007/PL00000397
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：70 / 76
页数：7
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