The James constant of normalized norms on ℝ2
Weerayuth Nilsrakoo, Satit Saejung · Journal of Inequalities and Applications · 2006
We introduce a new class of normalized norms on 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.