Nonlinear subsets of function spaces and spaceability
dc.contributor.author | Ruiz Bermejo, César | |
dc.contributor.author | Sánchez de los Reyes, Víctor Manuel | |
dc.date.accessioned | 2023-06-19T13:29:06Z | |
dc.date.available | 2023-06-19T13:29:06Z | |
dc.date.issued | 2014-12 | |
dc.description.abstract | In 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Spanish Ministry of Economy and Competitiveness | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/28994 | |
dc.identifier.doi | 10.1016/j.laa.2014.09.005 | |
dc.identifier.issn | 0024-3795 | |
dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0024379514005904 | |
dc.identifier.relatedurl | http://arxiv.org/pdf/1401.5906v5.pdf | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/33837 | |
dc.issue.number | 463 | |
dc.journal.title | Linear algebra and its applications | |
dc.language.iso | eng | |
dc.page.final | 67 | |
dc.page.initial | 56 | |
dc.publisher | Elsevier | |
dc.relation.projectID | MTM2012-31286 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 517 | |
dc.subject.keyword | Spaceability | |
dc.subject.keyword | Lorentz space | |
dc.subject.keyword | Marcinkiewicz space | |
dc.subject.keyword | Orlicz space | |
dc.subject.keyword | Nakano space | |
dc.subject.keyword | Disjointly strictly singular | |
dc.subject.ucm | Matemáticas (Matemáticas) | |
dc.subject.unesco | 12 Matemáticas | |
dc.title | Nonlinear subsets of function spaces and spaceability | |
dc.type | journal article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 99883408-190b-4f61-be14-23d8126a2710 | |
relation.isAuthorOfPublication.latestForDiscovery | 99883408-190b-4f61-be14-23d8126a2710 |
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