Sequences of differential operators: exponentials, hypercyclicity and equicontinuity

Bernal González, Luis; Prado Tendero, José Antonio

doi:10.4064/ap77-2-4

Artículo

dc.creator	Bernal González, Luis	es
dc.creator	Prado Tendero, José Antonio	es
dc.date.accessioned	2019-06-19T09:16:25Z
dc.date.available	2019-06-19T09:16:25Z
dc.date.issued	2001
dc.identifier.citation	Bernal González, L. y Prado Tendero, J.A. (2001). Sequences of differential operators: exponentials, hypercyclicity and equicontinuity. Annales Polonici Mathematici, 77, 169-187.
dc.identifier.issn	0066-2216	es
dc.identifier.issn	1730-6272	es
dc.identifier.uri	https://hdl.handle.net/11441/87520
dc.description.abstract	In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of C N are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as before is also studied, and it is even characterized if the domain is C N. The results obtained extend or improve earlier work of several authors.	es
dc.description.sponsorship	Dirección General de Enseñanza Superior (DGES). España	es
dc.description.sponsorship	Junta de Andalucía	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Polish Academy of Sciences, Institute of Mathematics	es
dc.relation.ispartof	Annales Polonici Mathematici, 77, 169-187.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Hypercyclic operators and sequences	es
dc.subject	Eequicontinuous family	es
dc.subject	Infinite order linear differential operator	es
dc.subject	Subexponential and exponential type	es
dc.subject	Eigenvalue criterion	es
dc.subject	Total subset	es
dc.subject	Exponential functions	es
dc.subject	Runge domain	es
dc.subject	Polydomain	es
dc.title	Sequences of differential operators: exponentials, hypercyclicity and equicontinuity	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	PB96-1348	es
dc.relation.publisherversion	https://www.impan.pl/shop/en/publication/transaction/download/product/84687	es
dc.identifier.doi	10.4064/ap77-2-4	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	22 p.	es
dc.journaltitle	Annales Polonici Mathematici	es
dc.publication.volumen	77	es
dc.publication.initialPage	169	es
dc.publication.endPage	187	es

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