Separation ratios of maps between Banach spaces
Under the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.522/ |
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| author | Rosendal, Christian |
| author_facet | Rosendal, Christian |
| author_sort | Rosendal, Christian |
| collection | DOAJ |
| description | Under the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant. |
| format | Article |
| id | doaj-art-5529985d8c5b49eeb3ea691fdf13451a |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-5529985d8c5b49eeb3ea691fdf13451a2025-02-07T11:11:47ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-11-01361G101663167210.5802/crmath.52210.5802/crmath.522Separation ratios of maps between Banach spacesRosendal, Christian0Department of Mathematics University of Maryland, 4176 Campus Drive - William E. Kirwan Hall, College Park, MD 20742-4015, USAUnder the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.522/Coarse embeddingsBanach spaces |
| spellingShingle | Rosendal, Christian Separation ratios of maps between Banach spaces Comptes Rendus. Mathématique Coarse embeddings Banach spaces |
| title | Separation ratios of maps between Banach spaces |
| title_full | Separation ratios of maps between Banach spaces |
| title_fullStr | Separation ratios of maps between Banach spaces |
| title_full_unstemmed | Separation ratios of maps between Banach spaces |
| title_short | Separation ratios of maps between Banach spaces |
| title_sort | separation ratios of maps between banach spaces |
| topic | Coarse embeddings Banach spaces |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.522/ |
| work_keys_str_mv | AT rosendalchristian separationratiosofmapsbetweenbanachspaces |