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 …

We provide criteria for the existence of upper frequently hypercyclic subspaces and for
common hypercyclic subspaces, which include the following consequences. There exist …

We show that convolution operators on certain spaces of entire functions of a given type and
order on Banach spaces are strongly mixing with respect to an invariant Borel probability …

We prove that every hypercyclic weighted composition operator acting on the space of
smooth functions on the real line is already frequently hypercyclic. Moreover, for a given …

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