Bes, J.; Martin O.; Peris Manguillot, A. (2011). Disjoint hypercyclic linear fractional composition operators. Journal of Mathematical Analysis and Applications. 381:843-856. https://doi.org/10.1016/j.jmaa.2011.03.072
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/31442
Title:
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Disjoint hypercyclic linear fractional composition operators
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Author:
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Bes, J.
Martin O.
Peris Manguillot, Alfredo
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. ...[+]
We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. We also study mixing and disjoint mixing behavior of projective limits of endomorphisms of a projective spectrum. In particular, we show that a linear fractional composition operator is mixing on the projective limit of the Sv spaces strictly containing the Dirichlet space if and only if the operator is mixing on the Hardy space. © 2011 Elsevier Inc.
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Subjects:
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Composition operators
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Dirichlet spaces
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Hypercyclic operators
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Copyrigths:
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Cerrado |
Source:
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Journal of Mathematical Analysis and Applications. (issn:
0022-247X
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DOI:
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10.1016/j.jmaa.2011.03.072
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.jmaa.2011.03.072
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Project ID:
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info:eu-repo/grantAgreement/MEC//MTM2007-64222/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ /
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/
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Thanks:
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The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the ...[+]
The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the referees for their comments and suggestions.
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Type:
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Artículo
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