The skew generalized von Neumann-Jordan type constant in Banach spaces
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908376326209536 |
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| author | Wang, Yuxin Liu, Qi Feng, Yueyue Xia, Jinyu Sarfraz, Muhammad |
| author_facet | Wang, Yuxin Liu, Qi Feng, Yueyue Xia, Jinyu Sarfraz, Muhammad |
| contents | Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp(λ,μ,X) based on C(X) constant is given in this paper. First, we will obtain some basic properties of this new constant. Moreover, some relations between this new constant and other constants are investigated. Specially, with the Banach-Mazur distance, we use this new constant to study isomorphic Banach spaces. Ultimately, by leveraging the connection between the newly introduced constant and the weak orthogonality coefficient ω(X), a sufficient condition for normal structure is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The skew generalized von Neumann-Jordan type constant in Banach spaces Wang, Yuxin Liu, Qi Feng, Yueyue Xia, Jinyu Sarfraz, Muhammad Functional Analysis Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp(λ,μ,X) based on C(X) constant is given in this paper. First, we will obtain some basic properties of this new constant. Moreover, some relations between this new constant and other constants are investigated. Specially, with the Banach-Mazur distance, we use this new constant to study isomorphic Banach spaces. Ultimately, by leveraging the connection between the newly introduced constant and the weak orthogonality coefficient ω(X), a sufficient condition for normal structure is established. |
| title | The skew generalized von Neumann-Jordan type constant in Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.17628 |