48 citations · 102 across the 24 of their papers we have counts for
4 papers · 1 filter
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…