Resumen de Complemented hypercyclic subspaces

Henrik Petersson

• A sequence T=(Tn) of continuous linear operators Tn acting on a space X, is said to be hypercyclic if there is a vector x, called hypercyclic for T, such that (Tnx) forms a dense set. A hypercyclic subspace for T is an infinite dimensional closed subspace of X formed by, except for zero, hypercyclic vectors (for T). We establish a criterion for a sequence T of operators, acting on a separable Frechet space with a continuous norm, to have a complemented hypercyclic subspace. Our result complements previous results by several authors.