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Frequent hypercyclicity, chaos, and unconditional Schauder decompositions

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Frequent hypercyclicity, chaos, and unconditional Schauder decompositions

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De La Rosa Penilla, M.; Frerick, L.; Grivaux, S.; Peris Manguillot, A. (2012). Frequent hypercyclicity, chaos, and unconditional Schauder decompositions. Israel Journal of Mathematics. 190(1):389-399. doi:10.1007/s11856-011-0210-6

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/43598

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Title: Frequent hypercyclicity, chaos, and unconditional Schauder decompositions
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...[+]
Subjects: Fréchet spaces , Schauder decompositions , Banach spaces , Frequently hypercyclic operators
Copyrigths: Reserva de todos los derechos
Source:
Israel Journal of Mathematics. (issn: 0021-2172 )
DOI: 10.1007/s11856-011-0210-6
Publisher:
Springer Verlag (Germany)
Publisher version: http://dx.doi.org/10.1007/s11856-011-0210-6
Thanks:
This work was partially supported by ANR-Projet Blanc DYNOP, by the MEC and FEDER Projects MTM2007-64222 and MTM2010-14909, and by Generalitat Valenciana Project PROMETEO/2008/101.
Type: Artículo

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