The Dunkl-Williams constant, convexity, smoothness and normal structure

被引：19

作者：

Jimenez-Melado, A. ^{[2
]}

Llorens-Fuster, E. ^{[3
]}

Mazcunan-Navarro, E. M. ^{[1
]}

机构：

[1] Univ Leon, Dept Matemat, E-24071 Leon, Spain

[2] Univ Malaga, Dept Anal Matemat, E-29071 Malaga, Spain

[3] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 342卷 / 01期

关键词：

Dunkl-williams constant; James constant; convexity; smoothness; normal structure;

D O I：

10.1016/j.jmaa.2007.11.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we exhibit some connections between the Dunkl-Williams constant and some other well-known constants and notions. We establish bounds for the Dunkl-Williams constant that explain and quantify a characterization of uniformly nonsquare Banach spaces in terms of the Dunkl-Williams constant given by M. Baronti and P.L. Papini. We also study the relationship between Dunkl-Williams constant, the fixed point property for nonexpansive mappings and normal structure. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：298 / 310

页数：13

共 15 条

[1]

Baronti M., 1999, RIV MAT U PARMA, V2, P171

[2]

Dominguez-Benavides T, 1996, HOUSTON J MATH, V22, P835

[3]

DUNKL C, 1964, AM MATH MONTHLY, P53

[4] ON THE GEOMETRY OF SPHERES IN NORMED LINEAR-SPACES [J].