Algebrability and nowhere Gevrey differentiability
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.contributor.author | Bastin, F. | |
| dc.contributor.author | Conejero, Jose A. | |
| dc.contributor.author | Esser, C. | |
| dc.date.accessioned | 2023-06-18T05:40:36Z | |
| dc.date.available | 2023-06-18T05:40:36Z | |
| dc.date.issued | 2015-02 | |
| dc.description.abstract | We show that there exist c-generated algebras (and dense in C ∞([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying this property. In the process of proving these results we also provide a new construction of nowhere Gevrey differentiable functions. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Programa de Investigación y Desarrollo de la UPV | |
| dc.description.sponsorship | Research Fellow from the Fonds National de la Recherche Scientifique | |
| dc.description.sponsorship | CNPq | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/29129 | |
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| dc.identifier.doi | 10.1007/s11856-014-1104-1 | |
| dc.identifier.issn | 0021-2172 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007/s11856-014-1104-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/22986 | |
| dc.issue.number | 1 | |
| dc.journal.title | Israel Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 143 | |
| dc.page.initial | 127 | |
| dc.publisher | Hebrew University Magnes Press | |
| dc.relation.projectID | MTM2010-14909 | |
| dc.relation.projectID | SP20120700 | |
| dc.relation.projectID | Grant 401735/2013-3 (PVE — Linha 2) | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Function-spaces | |
| dc.subject.keyword | Banach-spaces | |
| dc.subject.keyword | Vector-spaces | |
| dc.subject.keyword | Sets | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Prevalence | |
| dc.subject.keyword | Subspaces | |
| dc.subject.keyword | Subsets | |
| dc.subject.keyword | Every | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.title | Algebrability and nowhere Gevrey differentiability | |
| dc.type | journal article | |
| dc.volume.number | 205 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
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