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arXiv · 2204.13542

Frequently recurrence properties and block families

Rodrigo Cardeccia·Santiago Muro
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Abstract

We prove that reiteratively hypercyclic operators have perfect spectrum. Consequently, it follows that there exist separable infinite dimensional Banach spaces that do not support any reiteratively hypercyclic operator. For this, we study $\mathcal F$-recurrence and almost $\mathcal {F}$-recurrence of operators for general families and in particular for a special class of families, called block families.

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Rodrigo Cardeccia, Santiago Muro. 2022-04-28. Frequently recurrence properties and block families. https://arxiv.org/abs/2204.13542

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