9 citations · 11 across the 4 of their papers we have counts for
5 papers
On Read's type operators on Hilbert spaces
Sophie Grivaux, Maria Roginskaya
Using Read's construction of operators without non-trivial invariant subspaces/subsets on or , we construct examples of operators on a Hilbert space whose set of…
An example of a minimal action of the free semi-group $\F^{+}_{2}$ on the Hilbert space
Sophie Grivaux, Maria Roginskaya
The Invariant Subset Problem on the Hilbert space is to know whether there exists a bounded linear operator on a separable infinite-dimensional Hilbert space such that the…
IP-Dirichlet measures and IP-rigid dynamical systems: an approach via generalized Riesz products
Sophie Grivaux
If is a strictly increasing sequence of integers, a continuous probability measure on the unit circle is said to be IP-Dirichlet with respect to…
Hilbertian Jamison sequences and rigid dynamical systems
Tanja Eisner, Sophie Grivaux
A strictly increasing sequence (n_k) of positive integers is said to be a Hilbertian Jamison sequence if for any bounded operator T on a separable Hilbert space such that the supre…
A hypercyclic rank one perturbation of a unitary operator
Sophie Grivaux
We prove that there exists a rank one perturbation of a unitary operator on a complex separable infinite dimensional Hilbert space which is hypercyclic.