Lineability in sequence and function spaces

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dc.contributor.authorAraujo, G.
dc.contributor.authorBernal-González, L.
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.contributor.authorPrado-Bassas, J. A.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.date.accessioned2023-06-17T21:56:24Z
dc.date.available2023-06-17T21:56:24Z
dc.date.issued2017
dc.description.abstractWe prove 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 discontinuous separately continuous real functions. Lineability in special spaces of sequences is also investigated.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipMEC
dc.description.sponsorshipPlan Andaluz de Investigación de la Junta de Andalucía
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/42840
dc.identifier.doi10.4064/sm8358-10-2016
dc.identifier.issn0039-3223
dc.identifier.officialurlhttps://arxiv.org/abs/1507.04477
dc.identifier.relatedurlhttps://arxiv.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/17816
dc.issue.number2
dc.journal.titleStudia Mathematica
dc.language.isoeng
dc.page.final136
dc.page.initial119
dc.publisherPolish Acad Sciencies Inst Mathematics
dc.relation.projectIDMTM2012- 34341
dc.relation.projectIDMTM2012-34847-C02-01
dc.relation.projectIDPDSE/CAPES 8015/14-7
dc.relation.projectIDFQM-127
dc.relation.projectIDGrant P08-FQM-03543
dc.rights.accessRightsopen access
dc.subject.cdu517.5
dc.subject.cdu517.98
dc.subject.keywordDense-lineability
dc.subject.keywordDifferentiable function
dc.subject.keywordDivergent series
dc.subject.keywordMeasurable function
dc.subject.keywordSeparate continuity
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleLineability in sequence and function spaces
dc.typejournal article
dc.volume.number237
dspace.entity.typePublication
relation.isAuthorOfPublicatione85d6b14-0191-4b04-b29b-9589f34ba898
relation.isAuthorOfPublication.latestForDiscoverye85d6b14-0191-4b04-b29b-9589f34ba898

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