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A note about the spectrum of composition operators induced by a rotation

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A note about the spectrum of composition operators induced by a rotation

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.date.accessioned 2021-03-01T08:08:37Z
dc.date.available 2021-03-01T08:08:37Z
dc.date.issued 2020-01-11 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162570
dc.description.abstract [EN] A characterization of those points of the unit circle which belong to the spectrum of a composition operator C phi, defined by a rotation phi (z)=rz with |r|=1, on the space H0(D) of all analytic functions which vanish at 0, is given. Examples show that the spectrum of C phi need not be closed. In these examples the spectrum is dense but point 1 may or may not belong to it, and this is related to Diophantine approximation. es_ES
dc.description.sponsorship The research of this paper was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Composition operator es_ES
dc.subject Space of analytic functions es_ES
dc.subject Rotation es_ES
dc.subject Diophantine number es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A note about the spectrum of composition operators induced by a rotation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00788-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ 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 Bonet Solves, JA. (2020). A note about the spectrum of composition operators induced by a rotation. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(2):1-6. https://doi.org/10.1007/s13398-020-00788-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-020-00788-5 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 6 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 114 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\405028 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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