On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912611804643328 |
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| author | Hu, Tingting Liu, Qi Bao, Mengmeng Wang, Yuxin |
| author_facet | Hu, Tingting Liu, Qi Bao, Mengmeng Wang, Yuxin |
| contents | This paper systematically investigates a new geometric constant associated with isosceles orthogonality in Banach spaces. By establishing the connection between this new constant and a classical function, sharp upper and lower bounds for the constant are derived. Specifically, the space is exactly a Hilbert space when the new constant reaches its lower bound; in finite-dimensional spaces, if the new constant attains its upper bound, it implies that the space does not possess uniform non-squareness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces Hu, Tingting Liu, Qi Bao, Mengmeng Wang, Yuxin Functional Analysis This paper systematically investigates a new geometric constant associated with isosceles orthogonality in Banach spaces. By establishing the connection between this new constant and a classical function, sharp upper and lower bounds for the constant are derived. Specifically, the space is exactly a Hilbert space when the new constant reaches its lower bound; in finite-dimensional spaces, if the new constant attains its upper bound, it implies that the space does not possess uniform non-squareness. |
| title | On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2509.23319 |