Dual of extremal absolute norms on $\mathbb{R}^{2}$ and the James constant
نویسندگان
چکیده
منابع مشابه
The James Constant of Normalized Norms on R2
We introduce a new class of normalized norms on R 2 which properly contains all absolute normalized norms. We also give a criterion for deciding whether a given norm in this class is uniformly nonsquare. Moreover, an estimate for the James constant is presented and the exact value of some certain norms is computed. This gives a partial answer to the question raised by Kato et al. under the Crea...
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Correspondence: zuozhanfei@139. com Department of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404000, China Abstract We determine and estimate the Ptolemy constant of absolute normalized norms on R by means of their corresponding continuous convex functions on [0, 1]. Moreover, the exact values were calculated in some concrete Banach spaces. 2000 Mathematics Subject C...
متن کاملThe Ptolemy constant of absolute normalized norms on R
Correspondence: zuozhanfei@139. com Department of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404000, China Abstract We determine and estimate the Ptolemy constant of absolute normalized norms on R by means of their corresponding continuous convex functions on [0, 1]. Moreover, the exact values were calculated in some concrete Banach spaces. 2000 Mathematics Subject C...
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2016
ISSN: 1735-8787
DOI: 10.1215/17358787-3492677