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arXiv · 1908.06712

On the Hypercyclicity Criterion for operators of Read's type

Sophie Grivaux
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Abstract

Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, i.e. that $T$ satisfies the Hypercyclicity Criterion.

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Sophie Grivaux. 2019-08-19. On the Hypercyclicity Criterion for operators of Read's type. https://arxiv.org/abs/1908.06712

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