An inequality between Jordan-von Neumann constant and James constant

作者：Yang, Changsen^*; Li, Haiying

来源：Applied Mathematics Letters, 2010, 23(3): 277-281.

DOI：10.1016/j.aml.2009.09.023

• Jordan-von Neumann constant
• James constant

Let X be a non-trivial Banach space. L. Maligranda conjectured C-NJ(X) <= 1 + J(X)(2)/4 for James constant J(X) and von Neumann-Jordan constant C-NJ(X) for X. Recently, J. Alonso et al. gave a proof of it and conjectured that C-NJ(X) <= J(X) is also valid. In this paper, we show that this conjecture is true.

• 出版日期2010-3
• 单位河南师范大学