Recently, Jiménez-Melado et al. [Jiménez-Melado A., Llorens-Fuster E., Mazcuñán-Navarro E.M., The Dunkl-Williams constant, convexity, smoothness and normal structure, J. Math. Anal. Appl., 2008, 342(1), 298–310] defined the Dunkl-Williams constant DW(X) of a normed linear space X. In this paper we present some characterizations of this constant. As an application, we calculate DW(ℓ2-ℓ∞) in the Day-James space ℓ2-ℓ∞.
@article{bwmeta1.element.doi-10_2478_s11533-013-0238-4,
author = {Hiroyasu Mizuguchi and Kichi-Suke Saito and Ryotaro Tanaka},
title = {On the calculation of the Dunkl-Williams constant of normed linear spaces},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1212-1227},
zbl = {1283.46013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0238-4}
}
Hiroyasu Mizuguchi; Kichi-Suke Saito; Ryotaro Tanaka. On the calculation of the Dunkl-Williams constant of normed linear spaces. Open Mathematics, Tome 11 (2013) pp. 1212-1227. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0238-4/
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