On a new geometric constant related to the von Neumann–Jordan constant

By Changsen Yang, Fenghui Wang. 2006

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Abstract The von Neumann–Jordan constant C NJ ( X ) is computed for X being l 2 − l 1 and l ∞ − l 1 space by introducing a new geometric constant γ X ( t ) . These partly give an answer to an open question posed by Kato et al. Some basic properties of this new coefficient are investigated. Moreover, we obtain a new class of Banach spaces with uniform normal structure.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2bbd7333f4f5d3d24bf8f7a7184c7a699ad093ad

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Citations in the corpus

• Wheeling around von Neumann-Jordan constant in Banach spaces (2008, background): “The constant E(X) appears in several recent papers; for example, E(X)/2 was considered in [20] and [22], where it was denoted by γ(1).”