48 citations · 102 across the 24 of their papers we have counts for
4 papers · 1 filter
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.
The rate of convergence in the method of alternating projections
Catalin Badea, Sophie Grivaux, Vladimir Muller
A generalization of the cosine of the Friedrichs angle between two subspaces to a parameter associated to several closed subspaces of a Hilbert space is given. This parameter is us…
Frequent hypercyclicity, chaos, and unconditional Schauder decompositions
Manuel De la Rosa, Leonhard Frerick, Sophie Grivaux +1
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently…
A new class of frequently hypercyclic operators
Sophie Grivaux
We study a hypercyclicity property of linear dynamical systems: a bounded linear operator T acting on a separable infinite-dimensional Banach space X is said to be hypercyclic if t…