Hypercyclic behaviour of operators in a hypercyclic C 0 -semigroup

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A new class of frequently hypercyclic operators (2010, background): “. By a result of Peris and Mu¨ller, if µ is any unimodular number µT is frequently hypercyclic as soon as T is frequently hypercyclic, and T and µT have the same set of frequently hypercyclic vectors [11]. Thus in order to prove Theorem 2.3, it suﬃces to prove: Theorem 2.5. If T is a bounded operato”
Distributional chaos for backward shifts (2009, background): “Semigroups of operators represent the continuous version of the iteration of a single operator, although it has been shown recently that, in fact, there is no difference between the hypercyclic behavior, either in the continuous or in the discrete case [20].”
Linear subsets of nonlinear sets in topological vector spaces (2013, background): “This was answered in the affirmative by Ansari [8], Bernal [60], and Bonet and Peris [99].”