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Isometric composition operators on Lipschitz spaces
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.date.accessioned | 2024-05-22T09:20:24Z | |
dc.date.available | 2024-05-22T09:20:24Z | |
dc.date.issued | 2020-02-20 | |
dc.identifier.citation | Mediterr. J. Math. (2020) 17:52 | es_ES |
dc.identifier.issn | 1660-5446 | |
dc.identifier.uri | http://hdl.handle.net/10835/16514 | |
dc.description.abstract | Given pointed metric spaces X and Y , we characterize the basepoint-preserving Lipschitz maps φ from Y to X inducing an isometric composition operator Cφ between the Lipschitz spaces Lip_0(X) and Lip_0(Y), whenever X enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018]. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Springer Nature Switzerland AG 2020 | es_ES |
dc.rights | Attribution-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nd/4.0/ | * |
dc.subject | Composition operator | es_ES |
dc.subject | Lipschitz function | es_ES |
dc.subject | Isometry | es_ES |
dc.subject | Peak property | es_ES |
dc.title | Isometric composition operators on Lipschitz spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00009-020-1488-6 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |