S. Grivaux

activity

20102023

most citedLinear dynamical systems on Hilbert spaces: typical properties and explicit examples

48 citations · 102 across the 24 of their papers we have counts for

collaborators

31 papers

math.FA2023

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 $ℓ_{p} (Z_{+})$ , $1 \leq p < \infty$ . Two continuous linear o…

math.FA2023

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…

math.DS2023

Around Furstenberg's times $p$ , times $q$ conjecture: times $p$ -invariant measures with some large Fourier coefficients

Catalin Badea, Sophie Grivaux

For each integer $n \geq 1$ , denote by $T_{n}$ the map $x \mapsto n x mod 1$ from the circle group $T = R / Z$ into itself. Let $p, q \geq 2$ be two multiplicativ…

math.FA2022★ 3 cited

Questions in linear recurrence: From the $T \oplus T$ -problem to lineability

Sophie Grivaux, Antoni López-Martínez, Alfred Peris

We study, for a continuous linear operator $T$ on an F-space $X$ , when the direct sum operator $T \oplus T$ is recurrent on $X \oplus X$ . In particular: we establish, for recurrence,…

math.FA2022

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 $S_{b}$ acting on the de Branges--Rovnyak space $H (b)$ associated to a function $b$ …

math.FA2022

Generic properties of l_p-contractions and similar operator topologies