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On the uniform boundedness theorem in fuzzy quasi-normed spaces

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On the uniform boundedness theorem in fuzzy quasi-normed spaces

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Nombre: Alegre;Romaguera - ...
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dc.contributor.author Alegre Gil, Maria Carmen es_ES
dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.date.accessioned 2017-10-16T13:01:58Z
dc.date.available 2017-10-16T13:01:58Z
dc.date.issued 2016-01-01
dc.identifier.issn 0165-0114
dc.identifier.uri http://hdl.handle.net/10251/89223
dc.description “NOTICE: this is the author’s version of a work that was accepted for publication in Fuzzy Sets and Systems. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Fuzzy Sets and Systems, [Volume 282, 1 January 2016, Pages 143-153] DOI 10.1016/j.fss.2015.02.009¨ es_ES
dc.description.abstract [EN] We prove that a family of continuous linear operators from a fuzzy quasi-normed space of the half second category to a fuzzy quasi-normed space is uniformly fuzzy bounded if and only if it is pointwise fuzzy bounded. This result generalizes and unifies several well-known results; in fact, the classical uniform boundedness principle, or Banach–Steinhauss theorem, is deduced as a particular case. Furthermore, we establish the relationship between uniform fuzzy boundedness and equicontinuity which allows us to give a uniform boundedness theorem in the class of paratopological vector spaces. The classical result for topological vector spaces is deduced as a corollary es_ES
dc.description.sponsorship The authors 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 Elsevier es_ES
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Fuzzy quasi-norm es_ES
dc.subject Fuzzy norm es_ES
dc.subject Uniformly fuzzy bounded es_ES
dc.subject Equicontinuous es_ES
dc.subject Quasi-normed space es_ES
dc.subject Paratopological vector space es_ES
dc.title On the uniform boundedness theorem in fuzzy quasi-normed spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.fss.2015.02.0090165
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/
dc.rights.accessRights Cerrado 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. (2016). On the uniform boundedness theorem in fuzzy quasi-normed spaces. Fuzzy Sets and Systems. 282:143-153. https://doi.org/10.1016/j.fss.2015.02.0090165 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.fss.2015.02.009165 es_ES
dc.description.upvformatpinicio 143 es_ES
dc.description.upvformatpfin 153 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 282 es_ES
dc.relation.senia 315826 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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