© Nilsrakoo and Saejung 2006
Received: 28 June 2005
Accepted: 13 September 2005
Published: 4 May 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.
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