Two tuples of noncommutative Orlicz sequence spaces and some geometry properties
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912386642870272 |
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| author | Zhenhua, Ma Lining, Jiang |
| author_facet | Zhenhua, Ma Lining, Jiang |
| contents | The primary contribution of this study lies in proposing a new concept termed $2$-tuples of noncommutative Orlicz sequence spaces $\bigoplus\limits_{j=1}^{2}S_{φ_{j},p}$, where $S_{φ_{j}}$ denotes a noncommutative Orlicz sequence space. By leveraging the three-line theorem, we establish the Riesz-Thorin interpolation theorem for $\bigoplus\limits_{j=1}^{2}S_{φ_{j},p}$. As applications, we derive bound for the nonsquare and von Neumann-Jordan constant of noncommutative Orlicz space $S_{φ_{s}} (0<s\leq1)$, where $φ_{s}$ is an intermediate function. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_16111 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two tuples of noncommutative Orlicz sequence spaces and some geometry properties Zhenhua, Ma Lining, Jiang Functional Analysis Operator Algebras The primary contribution of this study lies in proposing a new concept termed $2$-tuples of noncommutative Orlicz sequence spaces $\bigoplus\limits_{j=1}^{2}S_{φ_{j},p}$, where $S_{φ_{j}}$ denotes a noncommutative Orlicz sequence space. By leveraging the three-line theorem, we establish the Riesz-Thorin interpolation theorem for $\bigoplus\limits_{j=1}^{2}S_{φ_{j},p}$. As applications, we derive bound for the nonsquare and von Neumann-Jordan constant of noncommutative Orlicz space $S_{φ_{s}} (0<s\leq1)$, where $φ_{s}$ is an intermediate function. |
| title | Two tuples of noncommutative Orlicz sequence spaces and some geometry properties |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2505.16111 |