Inverse of mathcal{U}-frequently hypercyclic operators
classification
🧮 math.DS
math.FA
keywords
frequentlyhypercyclicmathcalinverseexistsinftyinvertiblemathbb
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We show that there exists an invertible $\mathcal{U}$-frequently hypercyclic operator on $\ell^p(\mathbb{N})$ ($1\le p <\infty$) whose inverse is not $\mathcal{U}$-frequently hypercyclic.
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