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Lineability and modes of convergence

dc.creatorCalderón Moreno, María del Carmenes
dc.creatorGerlach Mena, Pablo Josées
dc.creatorPrado Bassas, José Antonioes
dc.date.accessioned2020-02-06T07:19:41Z
dc.date.available2020-02-06T07:19:41Z
dc.date.issued2020-01
dc.identifier.citationCalderón Moreno, M.d.C., Gerlach Mena, P.J. y Prado Bassas, J.A. (2020). Lineability and modes of convergence. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18)
dc.identifier.issn1578-7303es
dc.identifier.issn1579-1505es
dc.identifier.urihttps://hdl.handle.net/11441/92784
dc.description.abstractIn this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.e. pointwise, uniformly but not pointwise convergent, and uniformly convergent but not in L1-norm, are analyzed. These findings extend and complement a number of earlier results by several authors.es
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (MICINN). Españaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectLineabilityes
dc.subjectAlgebrabilityes
dc.subjectUniform convergencees
dc.subjectConvergence in measurees
dc.subjectPointwise convergencees
dc.subjectConvergence in L 1 -normes
dc.titleLineability and modes of convergencees
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDFQM-127es
dc.relation.projectIDP08-FQM-03543es
dc.relation.projectIDPGC2018- 098474-B-C21es
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007%2Fs13398-019-00743-z.pdfes
dc.identifier.doi10.1007/s13398-019-00743-zes
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent14 p.es
dc.journaltitleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticases
dc.publication.volumen114es
dc.publication.issue18es

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