CHARACTERIZATION OF REAL INNER-PRODUCT SPACES BY MEANS OF SYMMETRICAL BILINEAR-FORMS

被引：11

作者：

BENITEZ, C ^{[1
]}

SARANTOPOULOS, Y ^{[1
]}

机构：

[1] NATL TECH UNIV ATHENS,DEPT MATH,GR-15773 ATHENS,GREECE

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 180卷 / 01期

关键词：

D O I：

10.1006/jmaa.1993.1396

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate those normed spaces E for which the norm of any continuous symmetric bilinear form on E has the same value as the norm of the associated homogeneous polynomial. In the real case we show that this property characterizes an inner product space (i.p.s). We also give some other characterizations of an i.p.s., through symmetric bilinear forms. © 1993 Academic Press, Inc.

引用

页码：207 / 220

页数：14

共 50 条

[1] A NOTE ON FANS IDENTITY FOR SYMMETRICAL BILINEAR-FORMS
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