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Smooth functions with uncountably many zeros

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dc.contributor.authorConejero, Jose A.
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.contributor.authorArcila,, M.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.date.accessioned2023-06-19T14:53:53Z
dc.date.available2023-06-19T14:53:53Z
dc.date.issued2015
dc.description.abstractIn this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9].
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCNPq
dc.description.sponsorshipMEC Project
dc.description.sponsorshipPrograma de Investigacion y Desarrollo de la UPV
dc.description.sponsorshipFPU grant of MEC Project
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30062
dc.identifier.issn1370-1444
dc.identifier.officialurlhttp://projecteuclid.org/euclid.bbms/1426856859
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34624
dc.issue.number1
dc.journal.titleBulletin of the Belgian Mathematical Society - Simon Stevin
dc.language.isoeng
dc.page.final75
dc.page.initial71
dc.publisherBELGIAN MATHEMATICAL SOC TRIOMPHE
dc.relation.projectID401735/2013-3
dc.relation.projectIDMTM2012-34341
dc.relation.projectIDMTM2013-47093-P
dc.relation.projectIDSP2012070
dc.relation.projectIDMTM2010-14909
dc.rights.accessRightsopen access
dc.subject.cdu517.98
dc.subject.keywordLineability
dc.subject.keywordSpaceability
dc.subject.keywordAlgebrability
dc.subject.keywordZero set
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleSmooth functions with uncountably many zeros
dc.typejournal article
dc.volume.number22
dspace.entity.typePublication
relation.isAuthorOfPublicatione85d6b14-0191-4b04-b29b-9589f34ba898
relation.isAuthorOfPublication.latestForDiscoverye85d6b14-0191-4b04-b29b-9589f34ba898

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