Nonlinear subsets of function spaces and spaceability

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dc.contributor.authorRuiz Bermejo, César
dc.contributor.authorSánchez de los Reyes, Víctor Manuel
dc.date.accessioned2023-06-19T13:29:06Z
dc.date.available2023-06-19T13:29:06Z
dc.date.issued2014-12
dc.description.abstractIn this paper, we study the existence of infinite dimensional closed linear subspaces of a rearrangement invariant space on [0,1] every nonzero element of which does not belong to any included rearrangement invariant space of the same class such that the inclusion operator is disjointly strictly singular. We consider Lorentz, Marcinkiewicz and Orlicz spaces. The answer is affirmative for Marcinkiewicz spaces and negative for Lorentz and Orlicz spaces. Also, the same problem is studied for Nakano spaces assuming different hypothesis
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministry of Economy and Competitiveness
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/28994
dc.identifier.doi10.1016/j.laa.2014.09.005
dc.identifier.issn0024-3795
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0024379514005904
dc.identifier.relatedurlhttp://arxiv.org/pdf/1401.5906v5.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33837
dc.issue.number463
dc.journal.titleLinear algebra and its applications
dc.language.isoeng
dc.page.final67
dc.page.initial56
dc.publisherElsevier
dc.relation.projectIDMTM2012-31286
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordSpaceability
dc.subject.keywordLorentz space
dc.subject.keywordMarcinkiewicz space
dc.subject.keywordOrlicz space
dc.subject.keywordNakano space
dc.subject.keywordDisjointly strictly singular
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.titleNonlinear subsets of function spaces and spaceability
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication99883408-190b-4f61-be14-23d8126a2710
relation.isAuthorOfPublication.latestForDiscovery99883408-190b-4f61-be14-23d8126a2710

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