On the $L_{\mathrm{YJ}}(ξ, η, X)$ constant for the Banaś-Frączek space
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913581915701248 |
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| author | Wang, Yuxin Liu, Qi Chen, Linhui Tan, Xiewei Sarfraz, Muhammad |
| author_facet | Wang, Yuxin Liu, Qi Chen, Linhui Tan, Xiewei Sarfraz, Muhammad |
| contents | In this paper, for any $λ\geq 1, R_λ^2$ is the Banaś-Frączek space. The exact value of $L_{\mathrm{YJ}}(ξ, η, X)$ for this space will be calculated. Specifically, $L_{\mathrm{YJ}}\left(ξ, η, R_λ^2\right)=1+\frac{2 ξη}{ξ^2+η^2}\left(1-\frac{1}{λ^2}\right)$ is the result thereafter through meticilous computation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_13285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the $L_{\mathrm{YJ}}(ξ, η, X)$ constant for the Banaś-Frączek space Wang, Yuxin Liu, Qi Chen, Linhui Tan, Xiewei Sarfraz, Muhammad Functional Analysis 46B20 F.2.2; I.2.7 In this paper, for any $λ\geq 1, R_λ^2$ is the Banaś-Frączek space. The exact value of $L_{\mathrm{YJ}}(ξ, η, X)$ for this space will be calculated. Specifically, $L_{\mathrm{YJ}}\left(ξ, η, R_λ^2\right)=1+\frac{2 ξη}{ξ^2+η^2}\left(1-\frac{1}{λ^2}\right)$ is the result thereafter through meticilous computation. |
| title | On the $L_{\mathrm{YJ}}(ξ, η, X)$ constant for the Banaś-Frączek space |
| topic | Functional Analysis 46B20 F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2411.13285 |