dc.creator | Bernal González, Luis | es |
dc.creator | Ordóñez Cabrera, Manuel Hilario | es |
dc.date.accessioned | 2016-07-01T09:11:20Z | |
dc.date.available | 2016-07-01T09:11:20Z | |
dc.date.issued | 2014-03-15 | |
dc.identifier.citation | Bernal González, L. y Ordóñez Cabrera, M.H. (2014). Lineability criteria, with applications. Journal of Functional Analysis, 266 (6), 3997-4025. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43011 | |
dc.description.abstract | Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is called lineable whenever A contains, except for zero, an infinite dimensional vector subspace. If, additionally, X is endowed with richer structures, then the more stringent notions of dense-lineability, maximal dense-lineability and spaceability arise naturally. In this paper, several lineability criteria are provided and applied to specific topological vector spaces, mainly function spaces. Sometimes, such criteria furnish unified proofs of a number of scattered results in the related literature. Families of
strict-order integrable functions, hypercyclic vectors, non-extendable
holomorphic mappings, Riemann non-Lebesgue integrable functions,
sequences not satisfying the Lebesgue dominated convergence theorem,
nowhere analytic functions, bounded variation functions, entire functions with fast growth and Peano curves, among others, are analyzed from the point of view of lineability. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Functional Analysis, 266 (6), 3997-4025. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lineability | es |
dc.subject | Maximal dense-lineability | es |
dc.subject | Spaceability | es |
dc.subject | Strict-order integrability | es |
dc.subject | Hypercyclicity | es |
dc.subject | Non-continuable holomorphic functions | es |
dc.subject | Fast growth entire functions | es |
dc.subject | Peano curves | es |
dc.title | Lineability criteria, with applications | 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 | info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-01 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jfa.2013.11.014 | es |
dc.identifier.doi | 10.1016/j.jfa.2013.11.014 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 38 p. | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 266 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 3997 | es |
dc.publication.endPage | 4025 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43011 | |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |