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Cyclicity of coefficient multipliers: Linear structure

 

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Opened Access Cyclicity of coefficient multipliers: Linear structure
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Author: Bernal González, Luis
Calderón Moreno, María del Carmen
Prado Bassas, José Antonio
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2007-03
Published in: Acta Mathematica Hungarica, 114 (4), 287-300.
Document type: Article
Abstract: 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.
Cite: 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.
Size: 125.3Kb
Format: PDF

URI: http://hdl.handle.net/11441/45725

DOI: 10.1007/s10474-007-5125-7

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