Some inequalities and geometric constants in p-normed spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910277169053696 |
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| author | Fang, Zhiyao Liu, Qi Wang, Yuxin Li, Yongjin |
| author_facet | Fang, Zhiyao Liu, Qi Wang, Yuxin Li, Yongjin |
| contents | 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 . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01064 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some inequalities and geometric constants in p-normed spaces Fang, Zhiyao Liu, Qi Wang, Yuxin Li, Yongjin Functional Analysis 46B20, 46A16, 26D15 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 . |
| title | Some inequalities and geometric constants in p-normed spaces |
| topic | Functional Analysis 46B20, 46A16, 26D15 |
| url | https://arxiv.org/abs/2606.01064 |