Separation ratios of maps between Banach spaces

Christian Rosendal

doi:10.5802/crmath.522

Analyse fonctionnelle

Separation ratios of maps between Banach spaces

Christian Rosendal ¹

¹ Department of Mathematics University of Maryland, 4176 Campus Drive - William E. Kirwan Hall, College Park, MD 20742-4015, USA

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1663-1672.

Résumé

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.

Reçu le : 2023-04-28
Révisé le : 2023-06-02
Accepté le : 2023-06-03
Publié le : 2023-11-17

DOI : 10.5802/crmath.522

Classification : 46B80
Mots clés : Coarse embeddings, Banach spaces

Affiliations des auteurs :

Christian Rosendal ¹

¹ Department of Mathematics University of Maryland, 4176 Campus Drive - William E. Kirwan Hall, College Park, MD 20742-4015, USA

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Christian Rosendal},
     title = {Separation ratios of maps between {Banach} spaces},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1663--1672},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.522},
     language = {en},
}

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Christian Rosendal. Separation ratios of maps between Banach spaces. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1663-1672. doi : 10.5802/crmath.522. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.522/

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