Characterizations of inner product spaces involving homogeneity of isosceles orthogonality

被引：2

作者：

Dadipour, F. ^{[1
]}

Sadeghi, F. ^{[2
]}

Salemi, A. ^{[2
]}

机构：

[1] Grad Univ Adv Technol, Dept Math, Kerman 7631133131, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Kerman 7616914111, Iran

来源：

ARCHIV DER MATHEMATIK | 2015年 / 104卷 / 05期

关键词：

Angular distance; Characterization of inner product spaces; Homogeneity of isosceles orthogonality; Minkowski plane; Normed linear space;

D O I：

10.1007/s00013-015-0762-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper by using the notion of homogeneity property of the isosceles orthogonality, we derive some characterizations of inner product spaces. We also prove that a weakened hypothesis of the homogeneity of the isosceles orthogonality and a weakened reformulation of the Ficken characterization can still characterize inner product spaces. Finally, we present a characterization of inner product spaces related to an angular distance equality.

引用

页码：431 / 439

页数：9

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