48 citations · 48 across the 6 of their papers we have counts for
7 papers · 1 filter
On the dynamics of composition operators: supercyclicity, odometers and translations
Frédéric Bayart, Etienne Matheron
We study the dynamical properties of composition operators acting on Banach spaces of measurable functions. In particular, we study in some detail the composition operators induced…
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
F. Bayart, S. Grivaux, E. Matheron +1
We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for th…
Orthogonality of invariant measures for weighted shifts
Sophie Grivaux, Etienne Matheron, Quentin Menet
We introduce and study the notion of orthogonality for two operators in the context of weighted backward shifts on , . Two continuous linear o…
Generic properties of l_p-contractions and similar operator topologies
Sophie Grivaux, Etienne Matheron, Quentin Menet
If is a separable reflexive Banach space, there are several natural Polish topologies on , the set of contraction operators on (none of which being clearly…
Linear dynamical systems on Hilbert spaces: typical properties and explicit examples
Sophie Grivaux, Etienne Matheron, Quentin Menet
We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit…
Invariant measures for frequently hypercyclic operators
Sophie Grivaux, Etienne Matheron
We investigate frequently hypercyclic and chaotic linear operators from a measure-theoretic point of view. Among other things, we show that any frequently hypercyclic operator T ac…