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Research Article | Open | Published:

The James constant of normalized norms on

Journal of Inequalities and Applicationsvolume 2006, Article number: 026265 (2006) | Download Citation

Abstract

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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Affiliations

  1. Department of Mathematics, Khon Kaen University, Khon Kaen, 40002, Thailand

    • Weerayuth Nilsrakoo
    •  & Satit Saejung

  2. Department of Mathematics, Statistics and Computer, Ubon Rajathanee University, Ubon Ratchathani, 34190, Thailand

    • Weerayuth Nilsrakoo

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Correspondence to Satit Saejung.

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Keywords

  • Kato
  • Partial Answer
  • James Constant