Translation operators on weighted spaces of entire functions

Translation operators on weighted spaces of entire functions

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 ch...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2017-02, Vol.145 (2), p.805-815
1. Verfasser: Tien, Pham Trong
Format: Artikel
Sprache:eng
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Research article
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13254