On g-barrelled groups and their permanence properties

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UDC.coleccionInvestigaciónes_ES
UDC.departamentoMatemáticases_ES
UDC.endPage1214es_ES
UDC.grupoInvGrupo de Métodos Numéricos en Enxeñaría (GMNI)es_ES
UDC.issue2es_ES
UDC.journalTitleJournal of Mathematical Analysis and Applicationses_ES
UDC.startPage1203es_ES
UDC.volume473es_ES
dc.contributor.authorBorsich, Tayomara
dc.contributor.authorChasco, MJ
dc.contributor.authorDomínguez, Xabier
dc.contributor.authorMartín Peinador, Elena
dc.date.accessioned2024-02-01T16:55:14Z
dc.date.available2024-02-01T16:55:14Z
dc.date.issued2019
dc.descriptionVersión aceptada de https://doi.org/10.1016/j.jmaa.2019.01.016es_ES
dc.description.abstract[Abstract:] The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that g-barrelledness is a multiplicative property, thus we obtain new examples of g-barrelled groups. We also prove that direct sums and inductive limits of g-barrelled locally quasi-convex groups are g-barrelled, too. Other permanence properties are considered as well.es_ES
dc.description.sponsorshipThe authors acknowledge the financial support of the Spanish AEI and FEDER UE funds. Grant: MTM2016-79422-P. They also want to express their gratitude to the referee for his/her careful reading of the manuscript and valuable suggestions.es_ES
dc.identifier.citationBorsich, T., Chasco, M. J., Domínguez, X., & Martín-Peinador, E. (2019). On g-barrelled groups and their permanence properties. Journal of Mathematical Analysis and Applications, 473(2), 1203-1214. https://doi.org/10.1016/j.jmaa.2019.01.016es_ES
dc.identifier.doi10.1016/j.jmaa.2019.01.016
dc.identifier.urihttp://hdl.handle.net/2183/35328
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-79422-P/ES/GRUPOS TOPOLOGICOS: DUALIDAD, GRUPOS DE LIE, APLICACIONESes_ES
dc.relation.urihttps://doi.org/10.1016/j.jmaa.2019.01.016es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Españaes_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectG-barrelled groupes_ES
dc.subjectBarrelled spacees_ES
dc.subjectReflexive groupes_ES
dc.subjectMackey topologyes_ES
dc.subjectPointwise convergence topologyes_ES
dc.subjectEquicontinuous setes_ES
dc.titleOn g-barrelled groups and their permanence propertieses_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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