2 papers
math.FA1999
Hypercyclic differentiation operators
Richard M. Aron, Juan P. Bes
A classical theorem due to G.D. Birkhoff states that there exists an entire function whose translates approximate any given entire function, as accurately as desired, over any ball…
math.FA1999
Invariant manifolds of hypercyclic vectors for the real scalar case
Juan P. Bes
We show that every hypercyclic operator on a real locally convex space admits a dense, invariant linear manifold of hypercyclic vectors.