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Algebrability of the set of hypercyclic vectors for backward shift operators
Published 12 Jul 2018 in math.DS | (1807.04544v1)
Abstract: We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Fr\'echet 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.
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