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math.FA2025
Zero-one law of orbital limit points for weighted shifts
Antonio Bonilla, Rodrigo Cardeccia, Karl-G. Grosse-Erdmann +1
Chan and Seceleanu have shown that if a weighted shift operator on , , admits an orbit with a non-zero limit point then it is hypercyclic. We pr…
math.FA2024
Kitai's Criterion for Composition Operators
Daniel Gomes, Karl-G. Grosse-Erdmann
We present a general and natural framework to study the dynamics of composition operators on spaces of measurable functions, in which we then reconsider the characterizations for h…
math.FA2024
Chaotic weighted shifts on directed trees
Karl-G. Grosse-Erdmann, Dimitris Papathanasiou
We study the dynamical behaviour of weighted backward shift operators defined on sequence spaces over a directed tree. We provide a characterization of chaos on very general Fréch…