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dc.contributor.author | Bernal-González, Luis | es_ES |
dc.contributor.author | Calderón-Moreno, María del Carmen | es_ES |
dc.contributor.author | Murillo Arcila, Marina | es_ES |
dc.contributor.author | Prado-Bassas, José A. | es_ES |
dc.date.accessioned | 2021-11-05T14:09:14Z | |
dc.date.available | 2021-11-05T14:09:14Z | |
dc.date.issued | 2020-10-20 | es_ES |
dc.identifier.issn | 1660-5446 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/176361 | |
dc.description.abstract | [EN] In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Specifically, we study both topological and algebraic genericity of the family of all null sequences of functions that, being continuous on a locally compact space and integrable with respect to a given Borel measure in it, are not controlled by an integrable function. | es_ES |
dc.description.sponsorship | Luis Bernal-Gonzalez, Maria del Carmen Calderon-Moreno, and Jose A. Prado-Bassas have been supported by the Plan Andaluz de Investigacion de la Junta de Andalucia FQM-127 Grant P08-FQM-03543 and by MCINN Grant PGC2018-098474-B-C21. Marina Murillo-Arcila is supported by MEC, Grant MTM2016-75963-P, and PID2019-105011GB-I00. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Mediterranean Journal of Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Integrable function | es_ES |
dc.subject | Continuous function | es_ES |
dc.subject | Undominated sequence | es_ES |
dc.subject | Lineability | es_ES |
dc.subject | Residual set | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Undominated Sequences of Integrable Functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s00009-020-01631-2 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Junta de Andalucía//FQM-127//Análisis Funcional No Lineal/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Junta de Andalucía//P08-FQM-03543//Análisis matemático/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI//PGC2018-098474-B-C21//METODOS DEL ANALISIS FUNCIONAL APLICADOS A: PROBLEMAS NO LINEALES, TEORIA DE JUEGOS Y LINEABILIDAD/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA DE OPERADORES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI//PID2019-105011GB-I00//DINAMICA DE OPERADORES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Bernal-González, L.; Calderón-Moreno, MDC.; Murillo Arcila, M.; Prado-Bassas, JA. (2020). Undominated Sequences of Integrable Functions. Mediterranean Journal of Mathematics. 17(6):1-17. https://doi.org/10.1007/s00009-020-01631-2 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00009-020-01631-2 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 17 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 17 | es_ES |
dc.description.issue | 6 | es_ES |
dc.relation.pasarela | S\427216 | es_ES |
dc.contributor.funder | Junta de Andalucía | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
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