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Lineability in sequence and function spaces

dc.creatorAraújo Soares, Gustavoes
dc.creatorBernal González, Luises
dc.creatorMuñoz Fernández, Gustavo Adolfoes
dc.creatorPrado Bassas, José Antonioes
dc.creatorSeoane Sepúlveda, Juan Benignoes
dc.date.accessioned2017-05-15T07:11:52Z
dc.date.available2017-05-15T07:11:52Z
dc.date.issued2017
dc.identifier.citationAraújo Soares, G., Bernal González, L., Muñoz Fernández, G.A., Prado Bassas, J.A. y Seoane Sepúlveda, J.B. (2017). Lineability in sequence and function spaces. Studia Mathematica, 237 (2), 119-136.
dc.identifier.issn0039-3223es
dc.identifier.issn1730-6337es
dc.identifier.urihttp://hdl.handle.net/11441/59742
dc.description.abstractIt is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing on dense sets, and the family of non-continuous separately continuous real functions. Lineability in special spaces of sequences is also investigated. Some of our findings complete or extend a number of results by several authors.es
dc.description.sponsorshipPrograma de Doutorado Sanduíche no Exterior (Coordenação de aperfeiçoamento de pessoal de nivel superior)es
dc.description.sponsorshipPlan Andaluz de Investigación (Junta de Andalucía)es
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherPolish Academy of Sciences, Institute of Mathematicses
dc.relation.ispartofStudia Mathematica, 237 (2), 119-136.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDense-lineabilityes
dc.subjectAlgebrabilityes
dc.subjectMeasurable functiones
dc.subjectDifferentiable functiones
dc.subjectSeparate continuityes
dc.subjectDivergent serieses
dc.titleLineability in sequence and function spaceses
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.projectIDPDSE/CAPES 8015/14-7es
dc.relation.projectIDFQM-127es
dc.relation.projectIDP08-FQM-03543es
dc.relation.projectIDMTM2012-34847-C02-01es
dc.relation.projectIDMTM2012-34341es
dc.relation.publisherversionhttps://www.impan.pl/shop/en/publication/transaction/download/product/92081es
dc.identifier.doi10.4064/sm8358-10-2016es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent18 p.es
dc.journaltitleStudia Mathematicaes
dc.publication.volumen237es
dc.publication.issue2es
dc.publication.initialPage119es
dc.publication.endPage136es

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