Artículo
Cyclicity of coefficient multipliers: Linear structure
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Prado Bassas, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2007-03 |
Fecha de depósito | 2016-09-27 |
Publicado en |
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Resumen | In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ... In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize its cyclicity, which contrasts with the fact that such operators are never supercyclic. Moreover, it is proved that for each cyclic function there is a dense part of the linear span of its orbit all of whose vectors are cyclic. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Identificador del proyecto | BFM2003-03893-C02-01
MTM2004-21420-E FQM-127 |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2007). Cyclicity of coefficient multipliers: Linear structure. Acta Mathematica Hungarica, 114 (4), 287-300. |
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