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Algebrability of the set of hypercyclic vectors for backward shift operators

Karl-g. Grosse-erdmannJavier FalcóJavier Falcó

subject

Set (abstract data type)Mathematics::Functional AnalysisPure mathematicsSequenceGeneral Mathematics010102 general mathematics0103 physical sciencesMultiplication010307 mathematical physics0101 mathematics01 natural sciencesCauchy productMathematics

description

Abstract We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Frechet 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.

yearjournalcountryeditionlanguage
2020-06-01Advances in Mathematics
https://doi.org/10.1016/j.aim.2020.107082