7 citations · 8 across the 7 of their papers we have counts for
9 papers
Disjointly universal inner functions
Özgur Martin, Dimitris Papathanasiou, Sibel Şahin
We characterize when two sequences of composition operators admit disjointly universal Blaschke products and singular inner functions. The characterizations we provide depend on ge…
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…
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…
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 Fréche…
Dense Lineability and algebrability of
Dimitris Papathanasiou
We show that the set is dense-lineable and dense-algebrable answering a question posed by Nestoridis and complementing a result by García-Pacheco, Mart…
Dynamics of weighted shifts on directed trees
Karl-G. Grosse-Erdmann, Dimitris Papathanasiou
We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercy…
Baire theorem and hypercyclic algebras
Frédéric Bayart, Fernando Costa Júnior, Dimitris Papathanasiou
The question of whether a hypercyclic operator acting on a Fr{é}chet algebra admits or not an algebra of hypercyclic vectors (but 0) has been addressed in the recent litera…
Topology of Gleason Parts in maximal ideal spaces with no analytic discs
Alexander J. Izzo, Dimitris Papathanasiou
We strengthen, in various directions, the theorem of Garnett that every -compact, completely regular space occurs as a Gleason part for some uniform algebra. In particular,…
Algebrable sets of hypercyclic vectors for convolution operators
Juan Bès, Dimitris Papathanasiou
We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkh…