dc.creator | Gurgel e Albuquerque, Nacib André | es |
dc.creator | Bernal González, Luis | es |
dc.creator | Pellegrino, Daniel M. | es |
dc.creator | Seoane Sepúlveda, Juan Benigno | es |
dc.date.accessioned | 2016-07-01T09:48:54Z | |
dc.date.available | 2016-07-01T09:48:54Z | |
dc.date.issued | 2014-11-01 | |
dc.identifier.citation | Gurgel e Albuquerque, N.A., Bernal González, L., Pellegrino, D.M. y Seoane Sepúlveda, J.B. (2014). Peano curves on topological vector spaces. Linear Algebra and its Applications, 460, 81-96. | |
dc.identifier.issn | 0024-3795 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43012 | |
dc.description.abstract | The starting point of this paper is the existence of Peano
curves, that is, continuous surjections mapping the unit interval onto
the unit square. From this fact one can easily construct of a continuous
surjection from the real line R to any Euclidean space R
n
. The algebraic
structure of the set of these functions (as well as extensions to spaces
with higher dimensions) is analyzed from the modern point of view of
lineability, and large algebras are found within the families studied. We
also investigate topological vector spaces that are continuous image of
the real line, providing an optimal lineability result. | es |
dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior (Brasil) | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Linear Algebra and its Applications, 460, 81-96. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Peano curve | es |
dc.subject | Peano space | es |
dc.subject | space-filling curve | es |
dc.subject | order of entire functions | es |
dc.subject | lineability | es |
dc.subject | spaceability | es |
dc.title | Peano curves on topological vector spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | P08-FQM-03543 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-01 | es |
dc.relation.projectID | 401735/2013-3 | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.laa.2014.07.029 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Linear Algebra and its Applications | es |
dc.publication.volumen | 460 | es |
dc.publication.initialPage | 81 | es |
dc.publication.endPage | 96 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43012 | |