Translation operators on weighted spaces of entire functions

Tien, Pham

doi:10.1090/proc/13254

Translation operators on weighted spaces of entire functions
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by Pham Trong Tien

Proc. Amer. Math. Soc. 145 (2017), 805-815

DOI: https://doi.org/10.1090/proc/13254

Published electronically: August 23, 2016

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Abstract:

We study the dynamical properties of translation operators on both weighted Hilbert and Banach spaces of entire functions. We show that the translation operator on these weighted spaces is always mixing when it is continuous and give necessary and sufficient conditions in terms of weights for the chaos of this operator. We also prove that translation operators can arise as compact perturbations of the identity on weighted Banach spaces.

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