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Supercyclicity of weighted composition operators on spaces of continuous functions

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Supercyclicity of weighted composition operators on spaces of continuous functions

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dc.contributor.author Beltrán-Meneu, M. J. es_ES
dc.contributor.author Jorda Mora, Enrique es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2021-05-13T03:31:26Z
dc.date.available 2021-05-13T03:31:26Z
dc.date.issued 2020-09 es_ES
dc.identifier.issn 0010-0757 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166254
dc.description.abstract [EN] Our study is focused on the dynamics of weighted composition operators defined on a locally convex space E similar to. (C( X), tp) with X being a topological Hausdorff space containing at least two different points and such that the evaluations {dx : x. X} are linearly independent in E similar to. We prove, when X is compact and E is a Banach space containing a nowhere vanishing function, that a weighted composition operator Cw,. is never weakly supercyclic on E. We also prove that if the symbol. lies in the unit ball of A(D), then every weighted composition operator can never be tp-supercyclic neither on C( D) nor on the disc algebra A(D). Finally, we obtain Ansari-Bourdon type results and conditions on the spectrum for arbitrary weakly supercyclic operators, and we provide necessary conditions for a composition operator to be weakly supercyclic on the space of holomorphic functions defined in non necessarily simply connected planar domains. As a consequence, we show that no composition operator can be weakly supercyclic neither on the space of holomorphic functions on the punctured disc nor in the punctured plane. es_ES
dc.description.sponsorship The authors are very thankful to the referee for his/her careful reading of the manuscript and his/her valuable comments and observations. The first and the second author were supported by MEC, MTM2016-76647-P. The third author was supported by MEC, MTM2016-75963-P and GVA/2018/110. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Collectanea mathematica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weighted composition operator es_ES
dc.subject Weak supercyclicity es_ES
dc.subject Disc algebra es_ES
dc.subject Space of holomorphic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Supercyclicity of weighted composition operators on spaces of continuous functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13348-019-00274-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GV%2F2018%2F110/ 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/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ 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 Beltrán-Meneu, MJ.; Jorda Mora, E.; Murillo Arcila, M. (2020). Supercyclicity of weighted composition operators on spaces of continuous functions. Collectanea mathematica. 71(3):493-509. https://doi.org/10.1007/s13348-019-00274-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13348-019-00274-1 es_ES
dc.description.upvformatpinicio 493 es_ES
dc.description.upvformatpfin 509 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 71 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\420214 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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