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Undominated Sequences of Integrable Functions

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Undominated Sequences of Integrable Functions

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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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