On the plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, $c$, and Hilbert spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913099088396288 |
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| author | Levchenko, Maksym Zavarzina, Olesia |
| author_facet | Levchenko, Maksym Zavarzina, Olesia |
| contents | This paper demonstrates the expand-contract plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, and $c$. Furthermore, it establishes the strong plasticity of the unit spheres of Hilbert spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06622 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, $c$, and Hilbert spaces Levchenko, Maksym Zavarzina, Olesia Functional Analysis 46B20 This paper demonstrates the expand-contract plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, and $c$. Furthermore, it establishes the strong plasticity of the unit spheres of Hilbert spaces. |
| title | On the plasticity of the unit spheres of $\ell_1$, $\ell_{\infty}$, $c$, and Hilbert spaces |
| topic | Functional Analysis 46B20 |
| url | https://arxiv.org/abs/2605.06622 |