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On the calculation of the Dunkl-Williams constant of normed linear spaces

  • Research Article
  • Published:
Central European Journal of Mathematics

Abstract

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∞.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, Niigata, 950-2181, Japan

    Hiroyasu Mizuguchi & Ryotaro Tanaka

  2. Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan

    Kichi-Suke Saito

Authors
  1. Hiroyasu Mizuguchi
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  2. Kichi-Suke Saito
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  3. Ryotaro Tanaka
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Correspondence to Hiroyasu Mizuguchi.

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Mizuguchi, H., Saito, KS. & Tanaka, R. On the calculation of the Dunkl-Williams constant of normed linear spaces. centr.eur.j.math. 11, 1212–1227 (2013). https://doi.org/10.2478/s11533-013-0238-4

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  • DOI: https://doi.org/10.2478/s11533-013-0238-4

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