Gallardo Gutiérrez, Eva AntoniaGonzález-Doña, F. Javier2025-05-082025-05-082025Gallardo-Gutiérrez, Eva A.; González-Doña, F. Javier Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability. J. Funct. Anal. 289 (2025), no. 2, Paper No. 110903, 37 pp.10.1016/j.jfa.2025.110903https://hdl.handle.net/20.500.14352/119944We 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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articlehttps://doi.org/10.1016/j.jfa.2025.110903open accessCompact perturbations of normal operatorsInvariant subspacesSpectral subspacesDecomposable operatorsAnálisis matemático12 Matemáticas