Non-existence of common hypercyclic entire functions for certain families of translation operators

George Costakis; Nikos Tsirivas; Vagia Vlachou

arxiv: 1412.1461 · v1 · pith:MISIRANSnew · submitted 2014-12-03 · 🧮 math.FA

Non-existence of common hypercyclic entire functions for certain families of translation operators

George Costakis , Nikos Tsirivas , Vagia Vlachou This is my paper

classification 🧮 math.FA

keywords commonfamiliesfunctionshypercyclicoperatorstranslationadmitcertain

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We show that families of translation operators, where the translates grow exponentially fast, do not admit common hypercyclic functions. The result is close to be optimal.

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Non-existence of common hypercyclic entire functions for certain families of translation operators

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