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Under the weak assumption on a Banach space that embeds isomorphically into , we provide a characterisation of when a Banach space coarsely embeds into via a single numerical invariant.
Rosendal, Christian 1
@article{CRMATH_2023__361_G10_1663_0, author = {Rosendal, Christian}, title = {Separation ratios of maps between {Banach} spaces}, journal = {Comptes Rendus. Math\'ematique}, pages = {1663--1672}, publisher = {Acad\'emie des sciences, Paris}, volume = {361}, number = {G10}, year = {2023}, doi = {10.5802/crmath.522}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.522/} }
TY - JOUR AU - Rosendal, Christian TI - Separation ratios of maps between Banach spaces JO - Comptes Rendus. Mathématique PY - 2023 SP - 1663 EP - 1672 VL - 361 IS - G10 PB - Académie des sciences, Paris UR - http://geodesic.mathdoc.fr/articles/10.5802/crmath.522/ DO - 10.5802/crmath.522 LA - en ID - CRMATH_2023__361_G10_1663_0 ER -
%0 Journal Article %A Rosendal, Christian %T Separation ratios of maps between Banach spaces %J Comptes Rendus. Mathématique %D 2023 %P 1663-1672 %V 361 %N G10 %I Académie des sciences, Paris %U http://geodesic.mathdoc.fr/articles/10.5802/crmath.522/ %R 10.5802/crmath.522 %G en %F CRMATH_2023__361_G10_1663_0
Rosendal, Christian. Separation ratios of maps between Banach spaces. Comptes Rendus. Mathématique, Tome 361 (2023) no. G10, pp. 1663-1672. doi: 10.5802/crmath.522
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