A spectral radius type formula for approximation numbers of composition operators

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis

doi:10.1016/j.jfa.2014.09.008

Artículo

dc.creator	Li, Daniel	es
dc.creator	Queffélec, Hervé	es
dc.creator	Rodríguez Piazza, Luis	es
dc.date.accessioned	2016-09-29T10:05:57Z
dc.date.available	2016-09-29T10:05:57Z
dc.date.issued	2014-12-15
dc.identifier.citation	Li, D., Queffélec, H. y Rodríguez Piazza, L. (2014). A spectral radius type formula for approximation numbers of composition operators. Journal of Functional Analysis, 267 (12), 4753-4774.
dc.identifier.issn	0022-1236	es
dc.identifier.uri	http://hdl.handle.net/11441/46342
dc.description.abstract	For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞⁡[an(Cφ)]1/n=e−1/Cap[φ(D)], where Cap[φ(D)] is the Green capacity of φ(D) in D. This formula holds also for Hp with 1≤p<∞.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Functional Analysis, 267 (12), 4753-4774.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Approximation numbers	es
dc.subject	Bergman space	es
dc.subject	Composition operator	es
dc.subject	Dirichlet space	es
dc.subject	Green capacity	es
dc.subject	Hardy space	es
dc.subject	Weighted analytic Hilbert space	es
dc.title	A spectral radius type formula for approximation numbers of composition operators	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	info:eu-repo/grantAgreement/MINECO/MTM2012-05622	es
dc.relation.publisherversion	http://ac.els-cdn.com/S0022123614003681/1-s2.0-S0022123614003681-main.pdf?_tid=8dac2066-862b-11e6-ba07-00000aab0f02&acdnat=1475143410_dca48b06242fd75b34beae21efbb7cfb	es
dc.identifier.doi	10.1016/j.jfa.2014.09.008	es
dc.contributor.group	Universidad de Sevilla. FQM104: Analisis Matemático	es
idus.format.extent	25 p.	es
dc.journaltitle	Journal of Functional Analysis	es
dc.publication.volumen	267	es
dc.publication.issue	12	es
dc.publication.initialPage	4753	es
dc.publication.endPage	4774	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/46342
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España

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