Lineability in subsets of measure and function spaces
| dc.contributor.author | Muñoz-Fernández, Gustavo A. | |
| dc.contributor.author | Palmberg, M. | |
| dc.contributor.author | Puglisi, D. | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T09:41:35Z | |
| dc.date.available | 2023-06-20T09:41:35Z | |
| dc.date.issued | 2008-06 | |
| dc.description.abstract | We show, among other results, that if lambda denotes the Lebesgue measure on the Borel sets in [0, 1] and X is an infinite dimensional Banach space, then the set of measures whose range is neither closed nor convex is lineable in ca(lambda, X). We also show that, in certain situations, we have lineability of the set of X-valued and non-sigma-finite measures with relatively compact range. The lineability of sets of the type L-p(I)\L-q (I) is studied and some open questions are proposed. Some classical techniques together with the converse of the Lyapunov Convexity Theorem are used. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | MTM 2006-03531 | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17086 | |
| dc.identifier.doi | 10.1016/j.laa.2008.01.008 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0024379508000372 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50194 | |
| dc.issue.number | 11-12 | |
| dc.journal.title | Linear Algebra and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 2812 | |
| dc.page.initial | 2805 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Linear spaces | |
| dc.subject.keyword | Measure space | |
| dc.subject.keyword | Injective measure | |
| dc.subject.keyword | Function spaces | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Lineability in subsets of measure and function spaces | |
| dc.type | journal article | |
| dc.volume.number | 428 | |
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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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