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math.FA2019
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…
math.CV2019★ 1 cited
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,…