4 papers
Disjointly universal inner functions
Ãzgur Martin, Dimitris Papathanasiou, Sibel Åahin
We characterize when two sequences of composition operators admit disjointly universal Blaschke products and singular inner functions. The characterizations we provide depend on ge…
Hypercyclic shifts on lattice graphs
Anton Baranov, Andrei Lishanskii, Dimitris Papathanasiou
Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs whic…
Dynamics of weighted shifts on -sums and -sums
Quentin Menet, Dimitris Papathanasiou
We investigate a generalization of weighted shifts where each weight is replaced by an operator going from a Banach space to another one . We then look i…
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…