Resumen de Chaotic extensions of operators on Hilbert subspaces

C. K. Chan, G. Turco

• If M is a closed subspace of a separable, infinite dimensional Hilbert space H with dim (H/M) = ∞, we show that every bounded linear operator A: M → M can be extended to a chaotic operator T: H → H that satisfies the hypercyclicity criterion in the strongest possible sense. © 2011 Springer-Verlag.