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Bibliographic Details
Main Authors: Alonso, Javier, Martín, Pedro
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.02918
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Table of Contents:
  • This paper presents a compilation of various formulas for calculating the Dunkl-Williams constant $DW(X)$ of a real normed linear space. The constant $DW_B(X)$ related to Birkhoff orthogonality is also considered. The value of $DW(X)$ is calculated for several two-dimensional spaces. In particular, it is shown that the Dunk-Williams constant for $\ell_2-\ell_1$ is equal to $2\sqrt{2}$, and that it is equal to $8(2-\sqrt3)$ for the two dimensional normed linear space whose unit sphere is a dodecahedron.