Some Geometric Constants of Absolute Normalized Norms on R
نویسنده
چکیده
We consider the Banach space X = (R, ‖ · ‖) with a normalized, absolute norm. Our aim in this paper is to calculate the modified NeumannJordan constant C ′ NJ(X) and the Zbăganu constant CZ(X).
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The 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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