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On 2-local diameter-preservingmaps between C(X)-spaces
dc.contributor.author | Jiménez Vargas, Antonio | |
dc.contributor.author | Sady, Fereshteh | |
dc.date.accessioned | 2024-05-22T09:15:14Z | |
dc.date.available | 2024-05-22T09:15:14Z | |
dc.date.issued | 2020-10-26 | |
dc.identifier.citation | Positivity (2021) 25:867–881 | es_ES |
dc.identifier.issn | 1385-1292 | |
dc.identifier.uri | http://hdl.handle.net/10835/16513 | |
dc.description.abstract | The 2-locality problem of diameter-preserving maps between C(X)-spaces is addressed in this paper. For any compact Hausdorff space X with at least three points, we give an example of a 2-local diameter-preserving map on C(X) which is not linear. However, we show that for first countable compact Hausdorff spaces X and Y, every 2-local diameter-preserving map from C(X) to C(Y ) is linear and surjective up to constants in some sense. This fact yields the 2-algebraic reflexivity of isometries with respect to the diameter norms on the quotient spaces. | 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 | 2-local map | es_ES |
dc.subject | Diameter-preserving map | es_ES |
dc.subject | Function space | es_ES |
dc.subject | Weighted composition operator | es_ES |
dc.title | On 2-local diameter-preservingmaps between C(X)-spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s11117-020-00796-0 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/UAL2020-FQM-B1858 | es_ES |