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arXiv · 1712.06339

Subspaces of frequently hypercyclic functions for sequences of composition operators

Luis Bernal-González·M. Carmen Calderón-Moreno·Andreas Jung·José A. Prado Bassas
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Abstract

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 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.

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Luis Bernal-González, M. Carmen Calderón-Moreno, Andreas Jung, José A. Prado Bassas. 2017-12-18. Subspaces of frequently hypercyclic functions for sequences of composition operators. https://doi.org/10.1007/s00365-019-09455-4

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