4 papers
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,…