Lineability, spaceability, and additivity cardinals for Darboux-like functions
| dc.contributor.author | Ciesielski, Krzysztof Chris | |
| dc.contributor.author | Gámez Merino, José Luis | |
| dc.contributor.author | Pellegrino, Daniel | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-19T13:23:19Z | |
| dc.date.available | 2023-06-19T13:23:19Z | |
| dc.date.issued | 2014-01-01 | |
| dc.description.abstract | We introduce the concept of maximal lineability cardinal number, mL(M), of a subset M of a topological vector space and study its relation to the cardinal numbers known as: additivity A(M), homogeneous lineability HL(M), and lineability L(M) of M. In particular, we will describe, in terms of L, the lineability and spaceability of the families of the following Darboux-like functions on R-n, n >= 1: extendable, Jones, and almost continuous functions | |
| 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.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24706 | |
| dc.identifier.doi | 10.1016/j.laa.2013.10.033 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S002437951300668X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/1309.1965v1.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33481 | |
| dc.journal.title | Linear Algebra and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 317 | |
| dc.page.initial | 307 | |
| dc.publisher | Elsevier Science | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Additivity | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Darboux-like functions | |
| dc.subject.keyword | Extendable functions | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Lineability, spaceability, and additivity cardinals for Darboux-like functions | |
| dc.type | journal article | |
| dc.volume.number | 440 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 82bc6afe-22a9-4152-a980-f481478623eb | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | 82bc6afe-22a9-4152-a980-f481478623eb |
