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Topological Groups of Lipschitz Functions and Graev Metrics
| dc.contributor.author | Chasco, MJ | |
| dc.contributor.author | Domínguez, Xabier | |
| dc.contributor.author | Tkachenko, Mikhail | |
| dc.date.accessioned | 2022-03-08T18:51:03Z | |
| dc.date.available | 2022-03-08T18:51:03Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Chasco, 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.uri | http://hdl.handle.net/2183/29916 | |
| dc.description | Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG | es_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.sponsorship | The 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/CISUG | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.relation.uri | https://doi.org/10.1016/j.jmaa.2021.125882 | es_ES |
| dc.rights | Atribución 4.0 internacional | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Metric space | es_ES |
| dc.subject | Graev extension of metrics | es_ES |
| dc.subject | Lipschitz function | es_ES |
| dc.subject | Lipschitz free group | es_ES |
| dc.subject | Lipschitz group of functions | es_ES |
| dc.subject | Pontryagin duality | es_ES |
| dc.title | Topological Groups of Lipschitz Functions and Graev Metrics | es_ES |
| dc.type | journal article | es_ES |
| dc.rights.accessRights | open access | es_ES |
| UDC.journalTitle | Journal of Mathematical Analysis and Applications | es_ES |
| UDC.volume | 508 | es_ES |
| UDC.issue | 1 | es_ES |
| UDC.startPage | 125882 | es_ES |
| dc.identifier.doi | 10.1016/j.jmaa.2021.125882 | |
| UDC.coleccion | Investigación | es_ES |
| UDC.departamento | Matemáticas | es_ES |
| UDC.grupoInv | Grupo de Métodos Numéricos en Enxeñaría (GMNI) | es_ES |
| dc.relation.projectID | info: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/ |
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