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  • 1 Universidad de Sevilla Departamento de Análisis Matemático Apdo. 1160 Avda. Reina Mercedes 41080 Sevilla Spain
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Abstract  

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.

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