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dc.contributor.author
Cardeccia, Rodrigo Alejandro  
dc.date.available
2024-11-07T10:43:23Z  
dc.date.issued
2023-08  
dc.identifier.citation
Cardeccia, Rodrigo Alejandro; Disjoint hypercyclicity, Sidon sets and weakly mixing operators; Cambridge University Press; Ergodic Theory And Dynamical Systems; 44; 5; 8-2023; 1315-1329  
dc.identifier.issn
0143-3857  
dc.identifier.uri
http://hdl.handle.net/11336/247515  
dc.description.abstract
We prove that a finite set of natural numbers J satisfies that J∪{0} is not Sidon if and only if for any operator T, the disjoint hypercyclicity of {Tj:j∈J} implies that T is weakly mixing. As an application we show the existence of a non-weakly mixing operator T such that T⊕T2⊕⋯⊕Tn is hypercyclic for every n.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Disjoint hypercyclicity  
dc.subject
Sidon Sets  
dc.subject
Weakly mixing operators  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Disjoint hypercyclicity, Sidon sets and weakly mixing operators  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-11-06T09:38:22Z  
dc.journal.volume
44  
dc.journal.number
5  
dc.journal.pagination
1315-1329  
dc.journal.pais
Reino Unido  
dc.description.fil
Fil: Cardeccia, Rodrigo Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina  
dc.journal.title
Ergodic Theory And Dynamical Systems  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/product/identifier/S0143385723000548/type/journal_article  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/etds.2023.54  

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