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math.FA2024
Trichotomy for the orbits of a hypercyclic operator on a Banach space
Jian Li
We obtain a trichotomy for the orbits of a hypercyclic operator on a separable Banach space : (1) every vector is mean asymptotic to zero; (2) generic vectors are absolutely…
math.DS2024
Return time sets and product recurrence
Jian Li, Xianjuan Liang, Yini Yang
Let be a countable infinite discrete group. We show that a subset of contains a return time set of some piecewise syndetic recurrent point in a compact Hausdorff sp…