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April 2016 Dual of extremal absolute norms on R2 and the James constant
Masahiro Sato, Naoto Komuro, Ken-Ichi Mitani, Kichi-Suke Saito, Ryotaro Tanaka
Banach J. Math. Anal. 10(2): 251-266 (April 2016). DOI: 10.1215/17358787-3492677


The set of all absolute normalized norms on R2 (denoted by AN2) has a convex structure with respect to the usual operation. In a previous article, N. Komuro, K.-S. Saito, and K.-I. Mitani calculated the James constants of (R2,) when is an extreme point of AN2. In this article, we calculate the James constant of its dual space.


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Masahiro Sato. Naoto Komuro. Ken-Ichi Mitani. Kichi-Suke Saito. Ryotaro Tanaka. "Dual of extremal absolute norms on R2 and the James constant." Banach J. Math. Anal. 10 (2) 251 - 266, April 2016.


Received: 26 March 2015; Accepted: 28 May 2015; Published: April 2016
First available in Project Euclid: 15 March 2016

zbMATH: 1352.46017
MathSciNet: MR3474838
Digital Object Identifier: 10.1215/17358787-3492677

Primary: 46B20

Keywords: ‎absolute norm , extreme norm , James constant

Rights: Copyright © 2016 Tusi Mathematical Research Group


Vol.10 • No. 2 • April 2016
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