A dynamical characterization of sub-Arakelian subsets

Calderón Moreno, María del Carmen; Prado Bassas, José Antonio

doi:10.1016/j.jmaa.2013.04.023

Artículo

dc.creator	Calderón Moreno, María del Carmen	es
dc.creator	Prado Bassas, José Antonio	es
dc.date.accessioned	2016-09-27T07:55:20Z
dc.date.available	2016-09-27T07:55:20Z
dc.date.issued	2013-09-15
dc.identifier.citation	Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2013). A dynamical characterization of sub-Arakelian subsets. Journal of Mathematical Analysis and Applications, 405 (2), 499-506.
dc.identifier.issn	0022-247X	es
dc.identifier.uri	http://hdl.handle.net/11441/45731
dc.description.abstract	We are going to characterize those sets which can be covered by an Arakelian set in terms of dynamical properties of entire functions via similarities. Moreover, if we consider the set of universal entire functions via similarities that are bounded on such a sub-Arakelian set, then it is shown that its algebraic size is as large as possible. As a consequence, we prove that the set of universal entire functions bounded on every (straight) line is algebraically large.	es
dc.description.sponsorship	Plan Andaluz de Investigación (Junta de Andalucía)	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 405 (2), 499-506.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Universal functions	es
dc.subject	sub-Arakelian subsets	es
dc.subject	Similarities	es
dc.subject	Dense-lineability	es
dc.subject	Spaceability	es
dc.title	A dynamical characterization of sub-Arakelian subsets	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	MTM2012- 34847-C02-01	es
dc.relation.publisherversion	http://ac.els-cdn.com/S0022247X13003326/1-s2.0-S0022247X13003326-main.pdf?_tid=5b78ebba-8487-11e6-acaa-00000aab0f27&acdnat=1474962937_581edabef0a46b32302f66eeb07b29ef	es
dc.identifier.doi	10.1016/j.jmaa.2013.04.023	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	17 p.	es
dc.journaltitle	Journal of Mathematical Analysis and Applications	es
dc.publication.volumen	405	es
dc.publication.issue	2	es
dc.publication.initialPage	499	es
dc.publication.endPage	506	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/45731
dc.contributor.funder	Junta de Andalucía
dc.contributor.funder	Ministerio de Ciencia e Innovación (MICIN). España

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