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dc.contributor.author | Alegre Gil, Maria Carmen | es_ES |
dc.contributor.author | Romaguera Bonilla, Salvador | es_ES |
dc.date.accessioned | 2015-05-19T11:11:13Z | |
dc.date.available | 2015-05-19T11:11:13Z | |
dc.date.issued | 2014-05-28 | |
dc.identifier.issn | 1085-3375 | |
dc.identifier.uri | http://hdl.handle.net/10251/50492 | |
dc.description | Copyright © 2014 C. Alegre and S. Romaguera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | es_ES |
dc.description.abstract | This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space. Our result generalizes the classical Hahn-Banach extension theorem for normed spaces. | es_ES |
dc.description.sponsorship | The authors thank the reviewers for their valuable suggestions. They also acknowledge the support of the Spanish Ministry of Economy and Competitiveness under Grant MTM2012-37894-C02-01. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Hindawi Publishing Corporation | es_ES |
dc.relation.ispartof | Abstract and Applied Analysis | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1155/2014/151472 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-37894-C02-01/ES/METODOS TOPOLOGICOS EN HIPERESPACIOS Y MULTIFUNCIONES CONTRACTIVAS. CASI-METRICAS Y DOMINIOS CUANTITATIVOS/ | es_ES |
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 | Alegre Gil, MC.; Romaguera Bonilla, S. (2014). The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstract and Applied Analysis. 2014:1-8. https://doi.org/10.1155/2014/151472 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1155/2014/151472 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 8 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 2014 | es_ES |
dc.relation.senia | 268512 | |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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dc.description.references | Alegre, C., & Romaguera, S. (2010). Characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy (quasi-)norms. Fuzzy Sets and Systems, 161(16), 2181-2192. doi:10.1016/j.fss.2010.04.002 | es_ES |