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Li–Yorke and distributionally chaotic operators

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Li–Yorke and distributionally chaotic operators

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Bermúdez, T.; Bonilla, A.; Martínez Jiménez, F.; Peris Manguillot, A. (2011). Li–Yorke and distributionally chaotic operators. Journal of Mathematical Analysis and Applications. 373:83-93. doi:10.1016/j.jmaa.2010.06.011

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Title: Li–Yorke and distributionally chaotic operators
Author: Bermúdez, T. Bonilla, A. Martínez Jiménez, Félix Peris Manguillot, Alfredo
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
We study Li-Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li-Yorke chaos in terms of the existence of irregular vectors. Sufficient "computable" criteria for distributional ...[+]
Subjects: Distributional chaos , Distributionally irregular vectors , Irregular vector , Li-Yorke chaos , Weighted shift operators
Copyrigths: Reserva de todos los derechos
Source:
Journal of Mathematical Analysis and Applications. (issn: 0022-247X )
DOI: 10.1016/j.jmaa.2010.06.011
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.jmaa.2010.06.011
Project ID:
info:eu-repo/grantAgreement/MEC//MTM2007-64222/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
Generalitat Velenciana [PROMETEO/2008/101]
info:eu-repo/grantAgreement/MICINN//MTM2008-05891/ES/ESPACIOS DE FUNCIONES ANALITICAS, DINAMICA DE OPERADORES Y ESTIMACIONES CON PESOS/
info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
Thanks:
The second author is supported in part by MEC and FEDER, Project MTM2008-05891. The third and fourth authors are supported in part by MEC and FEDER, Projects MTM2007-64222, MTM2010-14909 and by Generalitat Velenciana. ...[+]
Type: Artículo

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