Mutually non isomorphic mixed-norm Lebesgue spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917161237217280 |
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| author | Ansorena, José L. Bello, Glenier |
| author_facet | Ansorena, José L. Bello, Glenier |
| contents | We prove that for $1\le p,q\le\infty$ the mixed-norm spaces $L_q(L_p)$ are mutually non-isomorphic, with the only exception that $L_q(L_2)$ is isomorphic to $L_q(L_q)$ for all $1<q<\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutually non isomorphic mixed-norm Lebesgue spaces Ansorena, José L. Bello, Glenier Functional Analysis 46B03, 46B07, 46B10, 46B15, 46B20, 46B25, 46B42, 46B08, 46E30, 46E40 We prove that for $1\le p,q\le\infty$ the mixed-norm spaces $L_q(L_p)$ are mutually non-isomorphic, with the only exception that $L_q(L_2)$ is isomorphic to $L_q(L_q)$ for all $1<q<\infty$. |
| title | Mutually non isomorphic mixed-norm Lebesgue spaces |
| topic | Functional Analysis 46B03, 46B07, 46B10, 46B15, 46B20, 46B25, 46B42, 46B08, 46E30, 46E40 |
| url | https://arxiv.org/abs/2411.10576 |