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Falcó, Javier; Grosse-Erdmann, Karl-G.
Advances in mathematics, 06/2020, Letnik: 366Journal Article
We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Fréchet sequence spaces that are algebras when endowed with coordinatewise multiplication or with the Cauchy product. As a particular case, we obtain that the sets of hypercyclic vectors for Rolewicz's and MacLane's operators are algebrable.
