Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic.
KeywordsHypercyclic sequence of operators Composition operator Frequent hypercyclicity Holomorphic function Lineability
Mathematics Subject Classification30E10 47B33 47A16 47B38
The first, second, and fourth authors have been partially supported by Plan Andaluz de Investigación de la Junta de Andalucía FQM-127 Grant P08-FQM-03543 and by MEC Grant MTM2015-65242-C2-1-P. The third author has been supported by DFG-Forschungsstipendium JU 3067/1-1.
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