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arXiv · 2606.01064

Some inequalities and geometric constants in p-normed spaces

Zhiyao Fang·Qi Liu·Yuxin Wang·Yongjin Li
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Abstract

In this paper, we study some geometric constants in complete $p$-normed spaces with $0 < p \leq 1$. We introduce a new symmetric geometric constant associated with isosceles orthogonality, establish its sharp bounds, and provide an orthogonal characterization of the generalized von Neumann-Jordan constant in such spaces. We also investigate two Milman-type moduli in complete $p$-normed spaces, including their fundamental properties and sharp product inequalities. Finally, we extend the relation between the James constant and the generalized von Neumann-Jordan constant .

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Zhiyao Fang, Qi Liu, Yuxin Wang, Yongjin Li. 2026-05-31. Some inequalities and geometric constants in p-normed spaces. https://arxiv.org/abs/2606.01064

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