- -

The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Alegre;Romaguera - ...
Tamaño: 223.9Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
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
dc.description.references Bag, T., & Samanta, S. K. (2005). Fuzzy bounded linear operators. Fuzzy Sets and Systems, 151(3), 513-547. doi:10.1016/j.fss.2004.05.004 es_ES
dc.description.references Katsaras, A. K. (1984). Fuzzy topological vector spaces II. Fuzzy Sets and Systems, 12(2), 143-154. doi:10.1016/0165-0114(84)90034-4 es_ES
dc.description.references Felbin, C. (1992). Finite dimensional fuzzy normed linear space. Fuzzy Sets and Systems, 48(2), 239-248. doi:10.1016/0165-0114(92)90338-5 es_ES
dc.description.references Kaleva, O., & Seikkala, S. (1984). On fuzzy metric spaces. Fuzzy Sets and Systems, 12(3), 215-229. doi:10.1016/0165-0114(84)90069-1 es_ES
dc.description.references Schweizer, B., & Sklar, A. (1960). Statistical metric spaces. Pacific Journal of Mathematics, 10(1), 313-334. doi:10.2140/pjm.1960.10.313 es_ES
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


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem