On special partitions of [0, 1] and lineability within families bounded variation functions
| dc.contributor.author | Bernal González, L. | |
| dc.contributor.author | Fernández Sánchez, j: | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.contributor.author | Trutschnig, W. | |
| dc.date.accessioned | 2023-06-21T02:18:01Z | |
| dc.date.available | 2023-06-21T02:18:01Z | |
| dc.description.abstract | We show that there exists large algebraic structures (vector spaces, algebras, closed subspaces, etc.) formed entirely (except for 0), on one hand, by singular, nowhere monotonic functions on [0, 1] and, on the other hand, by absolutely continuous nowhere monotonic functions. Several tools, of independent interest, related to obtaining special partitions of R into uncountable collections will be provided and used. The results obtained in this note are either new or improved version of already existing ones. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN) | |
| dc.description.sponsorship | Junta de Andalucía | |
| dc.description.sponsorship | WISS 2025 project | |
| dc.description.status | unpub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/73438 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/65270 | |
| dc.language.iso | eng | |
| dc.relation.projectID | PGC2018-098474-B-C21; PGC2018- 097286-B-I00 | |
| dc.relation.projectID | FQM-127 Grant P20-00637 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.642 | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Bounded variation function | |
| dc.subject.keyword | Singular function | |
| dc.subject.keyword | Absolutely continuous function | |
| dc.subject.keyword | Nowhere monotonic function | |
| dc.subject.keyword | Espacios vectoriales | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | On special partitions of [0, 1] and lineability within families bounded variation functions | |
| dc.type | journal article | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
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