De la Rosa Penilla, ManuelFrerick, LeonhardGrivaux, SophiePeris Manguillot, Alfredo2014-10-272014-10-272012-080021-2172https://riunet.upv.es/handle/10251/43598We 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 hypercyclic. This result is extended to complex Frechet spaces with a continuous norm and an unconditional Schauder decomposition, and also to complex Frechet spaces with an unconditional basis, which gives a partial positive answer to a problem posed by Bonet. We also solve a problem of Bes and Chan in the negative by presenting hypercyclic, but non-chaotic operators on \mathbb{C}^\mathbb{N}. We extend the main result to C_0-semigroups of operators. Finally, in contrast with the complex case, we observe that there are real Banach spaces with an unconditional basis which support no chaotic operator.Reserva de todos los derechosFréchet spacesSchauder decompositionsBanach spacesFrequently hypercyclic operatorsMATEMATICA APLICADAArtículo10.1007/s11856-011-0210-6Abierto