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arXiv · 2103.08075

An epsilon-hypercyclicity criterion and its application on classical Banach spaces

Sebastián Tapia-García
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Abstract

We provide a criterion for $\varepsilon$-hypercyclicity. Also, we extend the ideas of Badea, Grivaux, M\"uller and Bayart to construct $\varepsilon$-hypercyclic operators which are not hypercyclic in a wider class of separable Banach spaces, including several classical Banach spaces. For instance, our result can be applied to separable infinite dimensional $L^p$ spaces and $C(K)$ spaces.

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Sebastián Tapia-García. 2021-03-15. An epsilon-hypercyclicity criterion and its application on classical Banach spaces. https://arxiv.org/abs/2103.08075

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