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The Dunkl-Williams constant, convexity, smoothness and normal structure |
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| Authors: | A Jiménez-Melado E Llorens-Fuster EM Mazcuñán-Navarro |
| Institution: | a Departamento de Análisis Matemático, Universidad de Málaga, 29071 Málaga, Spain b Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjassot, Valencia, Spain c Departamento de Matemáticas, Universidad de León, 24071 León, Spain |
| Abstract: | 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. |
| Keywords: | Dunkl-Williams constant James constant Convexity Smoothness Normal structure |
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