%0 Journal Article %A Gallardo Gutiérrez, Eva Antonia %A González-Doña, F. Javier %T Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability %D 2025 %U https://hdl.handle.net/20.500.14352/119944 %X We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias. %~