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arXiv · 1811.01652

On some modifications of n-th von Neumann-Jordan constant for banach spaces

Maciej Ciesielski·Ryszard Płuciennik
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Abstract

There are discussed some modifications of n-th von Neumann-Jordan constant considered by M. Kato, Y. Takahashi and K. Hashimoto. We study, among others, upper, lower, upper modified and lower modified n-th von Neumann-Jordan constant and relationships between them. There are characterized uniformly non-l_{n}^{1} Banach spaces in terms of the upper modified n-th von Neumann-Jordan constant. Moreover, this constant is calculated explicitly for Lebesgue spaces L^{p} and l^{p} (1\leq p\leq oo).

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Maciej Ciesielski, Ryszard Płuciennik. 2018-11-05. On some modifications of n-th von Neumann-Jordan constant for banach spaces. https://arxiv.org/abs/1811.01652

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