Mostrar el registro sencillo del ítem
dc.contributor.author | Aliaga, Ramón J. | es_ES |
dc.contributor.author | Pernecka, Eva | es_ES |
dc.date.accessioned | 2021-12-30T19:27:01Z | |
dc.date.available | 2021-12-30T19:27:01Z | |
dc.date.issued | 2020 | es_ES |
dc.identifier.issn | 0213-2230 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/179187 | |
dc.description.abstract | [EN] For a complete metric space M, we prove that the finitely supported extreme points of the unit ball of the Lipschitz-free space F(M) are precisely the elementary molecules (¿(p)¿¿(q))/d(p,q) defined by pairs of points p,q in M such that the triangle inequality d(p,q)<d(p,r)+d(q,r) is strict for any r ¿ M different from p and q. To this end, we show that the class of Lipschitz-free spaces over closed subsets of M is closed under arbitrary intersections when M has finite diameter, and that this allows a natural definition of the support of elements of F(M). | es_ES |
dc.description.sponsorship | This work was supported by the grant GA. CR 18-00960Y. The first author was also partially supported by the Spanish Ministry of Economy and Competitiveness under Grant MTM2014-57838-C2-1-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | European Mathematical Society Publishing House | es_ES |
dc.relation.ispartof | Revista Matemática Iberoamericana | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Lipschitz-free space | es_ES |
dc.subject | Extreme point | es_ES |
dc.subject | Support | es_ES |
dc.subject.classification | TECNOLOGIA ELECTRONICA | es_ES |
dc.title | Supports and extreme points in Lipschitz-free spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4171/rmi/1191 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-57838-C2-1-P/ES/LA INTERACCION ENTRE GEOMETRIA Y TOPOLOGIA EN ESPACIOS DE BANACH. APLICACIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GACR//GACR 18-00960Y/ | 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.; Pernecka, E. (2020). Supports and extreme points in Lipschitz-free spaces. Revista Matemática Iberoamericana. 36(7):2073-2089. https://doi.org/10.4171/rmi/1191 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.4171/rmi/1191 | es_ES |
dc.description.upvformatpinicio | 2073 | es_ES |
dc.description.upvformatpfin | 2089 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 36 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.pasarela | S\413514 | es_ES |
dc.contributor.funder | Czech Science Foundation | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |