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2014 The Dunkl-Williams constant of symmetric octagonal norms on $\mathbb{R}^2$ II
Hiroyasu Mizuguchi
Nihonkai Math. J. 25(2): 151-172 (2014).

Abstract

Recently, the author and two other researchers constructed a calculation method for the Dunkl-Williams constant $DW(X)$ of a normed linear space $X$. Using the method, we determined the constant of $\mathbb{R}^2$ with symmetric octagonal norms. In this paper, we calculate the Dunkl-Williams constant of its dual space. As the result, the space $\mathbb{R}^2$ with symmetric octagonal norm becomes an example for which the Dunkl-Williams constant of the own space and the dual space have same value.

Citation

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Hiroyasu Mizuguchi. "The Dunkl-Williams constant of symmetric octagonal norms on $\mathbb{R}^2$ II." Nihonkai Math. J. 25 (2) 151 - 172, 2014.

Information

Published: 2014
First available in Project Euclid: 26 March 2015

zbMATH: 1323.46013
MathSciNet: MR3326634

Subjects:
Primary: 46B20

Rights: Copyright © 2014 Niigata University, Department of Mathematics

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Vol.25 • No. 2 • 2014
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