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Subspaces of frequently hypercyclic functions for sequences of composition operators. (English) Zbl 1423.30039

Summary: 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.

MSC:

30H99 Spaces and algebras of analytic functions of one complex variable
47B38 Linear operators on function spaces (general)
47B33 Linear composition operators
47A16 Cyclic vectors, hypercyclic and chaotic operators
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