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dc.contributor.author | Jonard Pérez,Natalia![]() |
es_ES |
dc.contributor.author | Sánchez Pérez, Enrique Alfonso![]() |
es_ES |
dc.date.accessioned | 2019-10-03T10:26:24Z | |
dc.date.available | 2019-10-03T10:26:24Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 1607-3606 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/127151 | |
dc.description.abstract | [EN] We characterize the ¿nite dimensional asymmetric normed spaces which are right bounded and the relation of this property with the natural compactness properties of the unit ball, such as compactness and strong compactness. In contrast with some results found in the ex-isting literature, we show that not all right bounded asymmetric norms have compact closed balls. We also prove that there are ¿nite dimen-sional asymmetric normed spaces that satisfy that the closed unit ball is compact, but not strongly compact, closing in this way an open ques-tion on the topology of ¿nite dimensional asymmetric normed spaces. In the positive direction, we will prove that a ¿nite dimensional asym-metric normed space is strongly locally compact if and only if it is right bounded. | es_ES |
dc.description.sponsorship | The first author has been supported by Conacyt grant 252849 (Mexico) and by PAPIIT grant IA104816 (UNAM, Mexico). The second author has been supported by Ministerio de Economia y Competitividad (Spain) (project MTM2016-77054-C2-1-P) | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Informa UK (National Inquiry Services Center) | es_ES |
dc.relation.ispartof | Quaestiones Mathematicae | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Asymmetric norm | es_ES |
dc.subject | Right bounded | es_ES |
dc.subject | Compactness | es_ES |
dc.subject | Local compactness | es_ES |
dc.subject | Convex set | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Local compactness in right bounded asymmetric normed spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.2989/16073606.2017.1391351 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/CONACyT//252849/ | |
dc.relation.projectID | info:eu-repo/grantAgreement/UNAM//IA104816/MX/Acciones de grupos en variedades de dimensión infinita/ | |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Jonard Pérez, N.; Sánchez Pérez, EA. (2018). Local compactness in right bounded asymmetric normed spaces. Quaestiones Mathematicae. 41(4):549-563. https://doi.org/10.2989/16073606.2017.1391351 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.2989/16073606.2017.1391351 | es_ES |
dc.description.upvformatpinicio | 549 | es_ES |
dc.description.upvformatpfin | 563 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 41 | es_ES |
dc.description.issue | 4 | es_ES |
dc.relation.pasarela | S\373853 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Consejo Nacional de Ciencia y Tecnología, México | |
dc.contributor.funder | Universidad Nacional Autónoma de México |