Von Neumann-Jordan constant of absolute normalized norms on C2

被引：62

作者：

Saito, KS ^{[1
]}

Kato, M

Takahashi, Y

机构：

[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

[2] Kyushu Inst Technol, Dept Math, Kitakyushu, Fukuoka 8048550, Japan

[3] Okayama Prefectural Univ, Dept Syst Engn, Soja 7191197, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 244卷 / 02期

基金：

日本学术振兴会;

关键词：

absolute normalized norm; convex function; non-l(p)-type norm; von Neumann-Jordan constant; uniform non-squareness;

D O I：

10.1006/jmaa.2000.6727

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine and estimate the von Neumann-Jordan constant of absolute normalized norms on C-2 by means of their corresponding continuous convex functions on [0, 1]. This provides many new interesting examples including those of non-l(p)-type as well as some previous ones. It is also shown that all such norms are uniformly non-square except l(1)- and l(infinity)-norms. (C) 2000 Academic Press.

引用

页码：515 / 532

页数：18

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