2025-05-202025-05-202025-01-21Bernal González, L., Calderón Moreno, M.d.C., López Salazar, J. y Prado Bassas, J.A. (2025). Hypercyclic subspaces for sequences of finite order differential operators. Journal of Mathematical Analysis and Applications, 546 (1), 129257-1. https://doi.org/10.1016/j.jmaa.2025.129257.0022-247X1096-0813https://hdl.handle.net/11441/172993It is proved that, if is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense -dimensional subspace of entire functions, all of whose nonzero members are hypercyclic for the corresponding sequence of differential operators. In both cases, the subspace can be chosen so as to contain any prescribed hypercyclic function.application/pdf13 p.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Differential operator of finite orderHypercyclic sequence of operatorsMaximal dense lineabilitySpaceabilityPointwise lineabilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.jmaa.2025.129257