We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the
operator D of complex differentiation supports a hypercyclic algebra on the space of entire …

We show that several convolution operators on the space of entire functions, such as the
MacLane operator, support a dense hypercyclic algebra that is not finitely generated …

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This expository survey is dedicated to recent developments in the area of linear dynamics.
Topics include frequent hypercyclicity, $\mathcal {U} $-frequent hypercyclicity, reiterative …

NON-EXISTENCE OF FREQUENTLY HYPERCYCLIC SUBSPACES FOR P(D) Page 1
ISRAEL JOURNAL OF MATHEMATICS 214 (2016), 149–166 DOI: 10.1007/s11856-016-1352-3 …

Frequent hypercyclicity is one of the most fascinating notions in linear dynamics: it is a
natural strengthening of the key concept in linear dynamics, that of hypercyclicity, and it is …

Considering a family of upper frequently hypercyclic operators we care about the existence
of vectors which are upper frequently hypercyclic for any operator of this family. We establish …

We show that the non-zero multiples of the derivative operator and the non-zero multiples of
non-trivial translation operators on the space of entire functions share a common hypercyclic …

Convolution operators supporting hypercyclic algebras$ ,$$ Page 1 Convolution operators
supporting hypercyclic algebras$ ,$$ Juan B`es Department of Mathematics and Statistics …