CHARACTERIZATIONS OF AN INNER PRODUCT SPACE BY GRAPHS

被引：0

作者：

Lin, C. -S. ^{[1
]}

机构：

[1] Bishops Univ, Dept Math, 2600 Coll St, Sherbrooke, PQ J1M 1Z7, Canada

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2009年 / 16卷 / 04期

关键词：

inner product space; Jordan-Neumann condition; parallelogram law; Ficken's condition; Oman's condition; law of cosines; Carlsson's condition; Day's codition;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The graph of the parallelogram law is well known, which gives rise to the characterization of an inner product space among normed linear spaces [6]. In this paper we will sketch graphs of its deformations according to our previous paper [7, Theorem 3.1 and 3.2]; each one of which characterizes an inner product space among normed linear spaces. Consequently, the graphs of some classical characterizations of an inner product space follow easily.

引用

页码：359 / 367

页数：9

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