UNIFORM NON-SQUARENESS, UNIFORM NORMAL STRUCTURE AND GAO'S CONSTANTS

被引：0

作者：

Wang, Fenghui ^{[1
]}

Yang, Changsen ^{[2
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 04期

关键词：

James constant; Clarkson's inequality; uniform non-squareness; normal structure;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two geometric constants, f (X) and E(X), introduced by Gao recently. An estimate concerning the James and Gao's constants is obtained. This estimate therefore allow us to get: (1) A Banach space X is uniformly non-square if and only if f (X) > 2 or E(X) < 8; (2) X has uniform normal structure provided f (X) > 4(3 - root 5) or E(X) < 3 + root 5.

引用

页码：607 / 614

页数：8

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