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arXiv · 1407.7262

q-Frequently hypercyclic operators

Manjul Gupta·Aneesh Mundayadan
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Abstract

We introduce q-frequently hypercyclic operators and derive a sufficient criterion for a continuous operator to be q-frequently hypercyclic on a locally convex space. Applications are given to obtain q-frequently hypercyclic operators with respect to the norm-, F-norm- and weak*- topologies. Finally, the frequent hypercyclicity of the non-convolution operator $T_\mu$ defined by $T_\mu(f)(z) = f'(\mu z)$, $\mu\ge1$ on the space $H(\mathbb{C})$ of entire functions equipped with the compact-open topology is shown.

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Manjul Gupta, Aneesh Mundayadan. 2014-07-27. q-Frequently hypercyclic operators. https://arxiv.org/abs/1407.7262

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