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Holomorphic operators generating dense images

dc.creatorBernal González, Luises
dc.creatorCalderón Moreno, María del Carmenes
dc.creatorPrado Bassas, José Antonioes
dc.date.accessioned2016-09-27T07:20:08Z
dc.date.available2016-09-27T07:20:08Z
dc.date.issued2008-01
dc.identifier.citationBernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2008). Holomorphic operators generating dense images. Integral Equations and Operator Theory, 60 (1), 1-11.
dc.identifier.issn0378-620Xes
dc.identifier.issn1420-8989es
dc.identifier.urihttp://hdl.handle.net/11441/45726
dc.description.abstractThe existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property are provided and applied to obtain a number of concrete examples: infinite order differential operators, composition operators and multiplication operators, among others.Key words and phrases: dense images, infinite dimensional closed linear spaces, non-relatively compact subsets, residual sets, differential operators, composition operators, multiplication operators.es
dc.description.sponsorshipPlan Andaluz de Investigación (Junta de Andalucía)es
dc.description.sponsorshipDirección General de Enseñanza Superiores
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofIntegral Equations and Operator Theory, 60 (1), 1-11.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDense imageses
dc.subjectInfinite dimensional closed linear spaceses
dc.subjectNon-relatively compact subsetses
dc.subjectResidual setses
dc.subjectDifferential operatorses
dc.subjectComposition operatorses
dc.subjectMultiplication operatorses
dc.titleHolomorphic operators generating dense imageses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDFQM-127es
dc.relation.projectIDBFM2003-03893-C02-01es
dc.relation.projectIDMTM2004- 21420-Ees
dc.relation.publisherversionhttp://download.springer.com/static/pdf/287/art%253A10.1007%252Fs00020-007-1547-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00020-007-1547-4&token2=exp=1474961809~acl=%2Fstatic%2Fpdf%2F287%2Fart%25253A10.1007%25252Fs00020-007-1547-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00020-007-1547-4*~hmac=a129cc0bbd32a0446c458c08158b01f18f7cf0754fa8b5f069512b7ab762a22fes
dc.identifier.doi10.1007/s00020-007-1547-4es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent13 p.es
dc.journaltitleIntegral Equations and Operator Theoryes
dc.publication.volumen60es
dc.publication.issue1es
dc.publication.initialPage1es
dc.publication.endPage11es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/45726
dc.contributor.funderJunta de Andalucía
dc.contributor.funderDirección General de Enseñanza Superior. España

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