Artículo
Compositional hypercyclicity equals supercyclicity
Autor/es | Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo Calderón Moreno, María del Carmen |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2007 |
Fecha de depósito | 2016-06-02 |
Publicado en |
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Resumen | In this note it is proved that the sequence of composition operators
generated by automorphisms of a simply connected domain strictly
contained in the complex plane is hypercyclic –that is, possesses some dense orbit– ... In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– if and only if it is supercyclic –i.e., possesses some dense projective orbit–. When the domain is the full complex plane, a result in this direction is also obtained. In addition, a number of statements about the corresponding cyclicity properties of single composition operators are either proved directly or extracted as a consequence |
Identificador del proyecto | FQM-127
BFM2003-03893-C02-01 MTM2005-07347 MTM2004-21420-E |
Cita | Bernal González, L., Bonilla Ramírez, A.L. y Calderón Moreno, M.d.C. (2007). Compositional hypercyclicity equals supercyclicity. Houston Journal of Mathematics, 33 (2), 581-591. |
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