Invariant manifolds of hypercyclic vectors for the real scalar case

Juan P. Bès
1999 Proceedings of the American Mathematical Society  
We show that every hypercyclic operator on a real locally convex vector space admits a dense invariant linear manifold of hypercyclic vectors.
doi:10.1090/s0002-9939-99-04720-6 fatcat:nxbds7bodna7daf3stiuas2fje