Topological Groups of Lipschitz Functions and Graev Metrics

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.grupoInvGrupo de Métodos Numéricos en Enxeñaría (GMNI)es_ES
UDC.issue1es_ES
UDC.journalTitleJournal of Mathematical Analysis and Applicationses_ES
UDC.startPage125882es_ES
UDC.volume508es_ES
dc.contributor.authorChasco, MJ
dc.contributor.authorDomínguez, Xabier
dc.contributor.authorTkachenko, Mikhail
dc.date.accessioned2022-03-08T18:51:03Z
dc.date.available2022-03-08T18:51:03Z
dc.date.issued2022
dc.descriptionFinanciado para publicación en acceso aberto: Universidade da Coruña/CISUGes_ES
dc.description.abstract[Abstract] We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a given metric d on X. We find that the group of Lipschitz functions Lip0(X,T) is the group of continuous characters of Ad(X). From this fact we derive some interesting properties of the metric groups Ad(X) and Lip0(X,T).es_ES
dc.description.sponsorshipThe authors were supported by Spanish Agencia Estatal de Investigación (AEI) grant MTM2016-79422-P cofinanced by European Regional Development Fund (EU). Open-access publication of this paper was financed by Universidade da Coruña/CISUGes_ES
dc.identifier.citationChasco, M. J., Domínguez, X., & Tkachenko, M. G. (2022). Topological groups of Lipschitz functions and Graev metrics. Journal of Mathematical Analysis and Applications, 508(1), 125882.es_ES
dc.identifier.doi10.1016/j.jmaa.2021.125882
dc.identifier.urihttp://hdl.handle.net/2183/29916
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-79422-P/ES/GRUPOS TOPOLOGICOS: DUALIDAD, GRUPOS DE LIE, APLICACIONES/
dc.relation.urihttps://doi.org/10.1016/j.jmaa.2021.125882es_ES
dc.rightsAtribución 4.0 internacionales_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectMetric spacees_ES
dc.subjectGraev extension of metricses_ES
dc.subjectLipschitz functiones_ES
dc.subjectLipschitz free groupes_ES
dc.subjectLipschitz group of functionses_ES
dc.subjectPontryagin dualityes_ES
dc.titleTopological Groups of Lipschitz Functions and Graev Metricses_ES
dc.typejournal articlees_ES
dspace.entity.typePublication
relation.isAuthorOfPublicationb37f3732-f39d-4685-9282-1e72524103f6
relation.isAuthorOfPublication.latestForDiscoveryb37f3732-f39d-4685-9282-1e72524103f6

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