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Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space

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Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space

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dc.contributor.author Alegre Gil, Maria Carmen es_ES
dc.date.accessioned 2023-06-20T18:01:52Z
dc.date.available 2023-06-20T18:01:52Z
dc.date.issued 2022-08 es_ES
dc.identifier.issn 1422-6383 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194433
dc.description.abstract [EN] We obtain some quasi-metric properties of the dual cone of an asymmetric normed space. Thus, we prove that it is balanced, and hence its topology is completely regular. We also prove that it is complete in the sense of D. Doitchinov. These results generalize those obtained by Romaguera et al. in [18] because, in our study, the asymmetric normed space does not necessarily satisfy the T1 axiom. Moreover, we provide a class of asymmetric normed spaces whose dual cones are right K-sequentially complete. Finally, we represent an arbitrary asymmetric normed space as a function space by using the unit ball of its dual space. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Results in Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Quasi-metric es_ES
dc.subject Asymmetric norm es_ES
dc.subject Asymmetric normed linear space es_ES
dc.subject Cone es_ES
dc.subject Semicontinuous linear map es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00025-022-01720-6 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Alegre Gil, MC. (2022). Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space. Results in Mathematics. 77(4):1-10. https://doi.org/10.1007/s00025-022-01720-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00025-022-01720-6 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 77 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\474247 es_ES
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