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2011 Some geometric constants of absolute normalized norms on $\Bbb R^2$
Hiroyasu Mizuguchi, Kichi-Suke Saito
Ann. Funct. Anal. 2(2): 22-33 (2011). DOI: 10.15352/afa/1399900191

Abstract

We consider the Banach space $X=(\Bbb R^2‎, ‎\|\cdot\|)$ with a normalized‎, ‎absolute norm‎. ‎Our aim in this paper is to calculate the modified Neumann-Jordan constant $C'_{NJ}(X)$ and the Zbăganu constant $C_Z(X)$‎.

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Hiroyasu Mizuguchi. Kichi-Suke Saito. "Some geometric constants of absolute normalized norms on $\Bbb R^2$." Ann. Funct. Anal. 2 (2) 22 - 33, 2011. https://doi.org/10.15352/afa/1399900191

Information

Published: 2011
First available in Project Euclid: 12 May 2014

zbMATH: 1256.46006
MathSciNet: MR2855283
Digital Object Identifier: 10.15352/afa/1399900191

Subjects:
Primary: 46B20
Secondary: 46B25

Keywords: ‎absolute norm , ‎von ‎‎Neumann-Jordan constant , Zbăganu constant

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.2 • No. 2 • 2011
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