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arXiv · 2207.13496

Hypercyclicity of composition operators on discrete weighted Banach spaces

Robert F. Allen·Flavia Colonna·Rubén A. Martínez-Avendaño·Matthew A. Pons
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Abstract

In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition operators act on the "little" spaces. We characterize the bounded composition operators on the little spaces, as well as provide various necessary conditions for hypercyclicity.

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Robert F. Allen, Flavia Colonna, Rubén A. Martínez-Avendaño, Matthew A. Pons. 2022-07-27. Hypercyclicity of composition operators on discrete weighted Banach spaces. https://doi.org/10.1007/s00009-019-1394-y

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