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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.15744 |
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| _version_ | 1866914686625120256 |
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| author | Dilworth, Stephen. J. Kutzarova, Denka Sarı, Bünyamin Stankov, Svetozar |
| author_facet | Dilworth, Stephen. J. Kutzarova, Denka Sarı, Bünyamin Stankov, Svetozar |
| contents | The Tirilman spaces $Ti(p,γ)$, $1<p<\infty$, were introduced by Casazza and Shura as variations of the spaces constructed by Tzafriri. We prove that all subsymmetric basic sequences in the dual space $Ti^*(p,γ)$ are equivalent to its canonical subsymmetic but not symmetric basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_15744 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Duals of Tirilman spaces have unique subsymmetric basic sequences Dilworth, Stephen. J. Kutzarova, Denka Sarı, Bünyamin Stankov, Svetozar Functional Analysis The Tirilman spaces $Ti(p,γ)$, $1<p<\infty$, were introduced by Casazza and Shura as variations of the spaces constructed by Tzafriri. We prove that all subsymmetric basic sequences in the dual space $Ti^*(p,γ)$ are equivalent to its canonical subsymmetic but not symmetric basis. |
| title | Duals of Tirilman spaces have unique subsymmetric basic sequences |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2210.15744 |