dc.creator | Calderón Moreno, María del Carmen | es |
dc.creator | Gerlach Mena, Pablo José | es |
dc.creator | Prado Bassas, José Antonio | es |
dc.date.accessioned | 2020-02-06T07:19:41Z | |
dc.date.available | 2020-02-06T07:19:41Z | |
dc.date.issued | 2020-01 | |
dc.identifier.citation | Calderón Moreno, M.d.C., Gerlach Mena, P.J. y Prado Bassas, J.A. (2020). Lineability and modes of convergence. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18) | |
dc.identifier.issn | 1578-7303 | es |
dc.identifier.issn | 1579-1505 | es |
dc.identifier.uri | https://hdl.handle.net/11441/92784 | |
dc.description.abstract | In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different
modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.e. pointwise, uniformly but not pointwise convergent, and uniformly convergent but not in L1-norm, are analyzed. These findings extend and complement a
number of earlier results by several authors. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18) | |
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 | Algebrability | es |
dc.subject | Uniform convergence | es |
dc.subject | Convergence in measure | es |
dc.subject | Pointwise convergence | es |
dc.subject | Convergence in L 1 -norm | es |
dc.title | Lineability and modes of convergence | 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 | PGC2018- 098474-B-C21 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs13398-019-00743-z.pdf | es |
dc.identifier.doi | 10.1007/s13398-019-00743-z | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | es |
dc.publication.volumen | 114 | es |
dc.publication.issue | 18 | es |