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Spectrum of composition operators on S(R) with polynomial symbols

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Spectrum of composition operators on S(R) with polynomial symbols

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Nombre: Fernández;Galbs;Jorda ...
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dc.contributor.author Fernández, Carmen es_ES
dc.contributor.author Galbis, Antonio es_ES
dc.contributor.author Jorda Mora, Enrique es_ES
dc.date.accessioned 2021-05-11T03:31:31Z
dc.date.available 2021-05-11T03:31:31Z
dc.date.issued 2020-05-13 es_ES
dc.identifier.issn 0001-8708 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166135
dc.description.abstract [EN] We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove that its spectrum reduces to {0}, while the spectrum of any non mean ergodic composition operator with a polynomial always contains the closed unit disc except perhaps the origin. We obtain a complete description of the spectrum of the composition operator with a quadratic polynomial or a cubic polynomial with positive leading coefficient. es_ES
dc.description.sponsorship The present research was partially supported by the projects MTM2016-76647-P and Prometeo2017/102 (Spain). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Advances in Mathematics es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Composition operator es_ES
dc.subject Space of rapidly decreasing functions es_ES
dc.subject Spectrum es_ES
dc.subject Mean ergodic operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Spectrum of composition operators on S(R) with polynomial symbols es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.aim.2020.107052 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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Fernández, C.; Galbis, A.; Jorda Mora, E. (2020). Spectrum of composition operators on S(R) with polynomial symbols. Advances in Mathematics. 365:1-24. https://doi.org/10.1016/j.aim.2020.107052 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.aim.2020.107052 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 24 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 365 es_ES
dc.relation.pasarela S\420205 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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