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dc.contributor.author | Aliaga, Ramón J. | es_ES |
dc.contributor.author | Nous, Camille | es_ES |
dc.contributor.author | Petitjean, Colin | es_ES |
dc.contributor.author | Prochazka, Antonin | es_ES |
dc.date.accessioned | 2022-07-25T18:06:27Z | |
dc.date.available | 2022-07-25T18:06:27Z | |
dc.date.issued | 2021 | es_ES |
dc.identifier.issn | 0039-3223 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/184747 | |
dc.description.abstract | [EN] We prove a general principle satisfied by weakly precompact sets of Lip-schitz-free spaces. By this principle, certain infinite-dimensional phenomena in Lipschitzfree spaces over general metric spaces may be reduced to the same phenomena in free spaces over their compact subsets. As easy consequences we derive several new and some known results. The main new results are: F(X) is weakly sequentially complete for every superreflexive Banach space X, and F(M) has the Schur property and the approximation property for every scattered complete metric space M. | es_ES |
dc.description.sponsorship | This work was supported by the French "Investissements d'Avenir" program, project ISITE-BFC (contract ANR-15-IDEX-03). R. J. Aliaga was partially supported by the Spanish Ministry of Economy, Industry and Competitiveness under Grant MTM2017-83262-C2-2-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Institute of Mathematics, Polish Academy of Sciences | es_ES |
dc.relation.ispartof | Studia Mathematica | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Lipschitz-free space | es_ES |
dc.subject | Lipschitz function | es_ES |
dc.subject | Lipschitz lifting property | es_ES |
dc.subject | Schur property | es_ES |
dc.subject | Approximation property | es_ES |
dc.subject | Weak sequential ompleteness | es_ES |
dc.subject | Dunford-Pettis property | es_ES |
dc.subject.classification | TECNOLOGIA ELECTRONICA | es_ES |
dc.title | Compact reduction in Lipschitz-free spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4064/sm200925-18-1 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83262-C2-2-P/ES/LA INTERACCION ENTRE GEOMETRIA Y TOPOLOGIA EN ESPACIOS DE BANACH. APLICACIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/ANR//ANR-15-IDEX-03/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Ingeniería Electrónica - Departament d'Enginyeria Electrònica | es_ES |
dc.description.bibliographicCitation | Aliaga, RJ.; Nous, C.; Petitjean, C.; Prochazka, A. (2021). Compact reduction in Lipschitz-free spaces. Studia Mathematica. 260(3):341-359. https://doi.org/10.4064/sm200925-18-1 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.4064/sm200925-18-1 | es_ES |
dc.description.upvformatpinicio | 341 | es_ES |
dc.description.upvformatpfin | 359 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 260 | es_ES |
dc.description.issue | 3 | es_ES |
dc.identifier.pmid | 29375159 | es_ES |
dc.identifier.pmcid | PMC5762870 | es_ES |
dc.relation.pasarela | S\445134 | es_ES |
dc.contributor.funder | Agence Nationale de la Recherche, Francia | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |