48 citations · 102 across the 24 of their papers we have counts for
23 papers · 1 filter
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…
Typicality of operators on Fréchet algebras admitting a hypercyclic algebra
William Alexandre, Clifford Gilmore, Sophie Grivaux
This paper is devoted to the study of typical properties (in the Baire Category sense) of certain classes of continuous linear operators acting on Fréchet algebras, endowed with th…
Questions in linear recurrence: From the -problem to lineability
Sophie Grivaux, Antoni López-Martínez, Alfred Peris
We study, for a continuous linear operator on an F-space , when the direct sum operator is recurrent on . In particular: we establish, for recurrence,…
Cyclicity in de Branges--Rovnyak spaces
Emmanuel Fricain, Sophie Grivaux
In this paper, we study the cyclicity problem with respect to the forward shift operator acting on the de Branges--Rovnyak space associated to a function …
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…
Recurrence properties for linear dynamical systems: An approach via invariant measures
Sophie Grivaux, Antoni López-Martínez
We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector , for…