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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.16807 |
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| _version_ | 1866916959066521600 |
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| author | Deregowska, Beata Foucart, Simon Lewandowska, Barbara |
| author_facet | Deregowska, Beata Foucart, Simon Lewandowska, Barbara |
| contents | It is shown in this note that one can decide whether an $n$-dimensional subspace of $\ell_\infty^N$ is isometrically isomorphic to $\ell_\infty^n$ by testing a finite number of determinental inequalities. As a byproduct, an elementary proof is provided for the fact that an $n$-dimensional subspace of $\ell_\infty^N$ with projection constant equal to one must be isometrically isomorphic to $\ell_\infty^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | When is a subspace of $\ell_\infty^N$ isometrically isomorphic to $\ell_\infty^n$? Deregowska, Beata Foucart, Simon Lewandowska, Barbara Functional Analysis It is shown in this note that one can decide whether an $n$-dimensional subspace of $\ell_\infty^N$ is isometrically isomorphic to $\ell_\infty^n$ by testing a finite number of determinental inequalities. As a byproduct, an elementary proof is provided for the fact that an $n$-dimensional subspace of $\ell_\infty^N$ with projection constant equal to one must be isometrically isomorphic to $\ell_\infty^n$. |
| title | When is a subspace of $\ell_\infty^N$ isometrically isomorphic to $\ell_\infty^n$? |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2509.16807 |