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arXiv · 1611.08564

Existence of common hypercyclic subspaces for the derivative operator and the translation operators

Quentin Menet
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Abstract

We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators.

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Quentin Menet. 2016-11-25. Existence of common hypercyclic subspaces for the derivative operator and the translation operators. https://arxiv.org/abs/1611.08564

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