RT Journal Article T1 Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability A1 Gallardo Gutiérrez, Eva Antonia A1 González-Doña, F. Javier AB 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. PB Elsevier YR 2025 FD 2025 LK https://hdl.handle.net/20.500.14352/119944 UL https://hdl.handle.net/20.500.14352/119944 LA eng NO Gallardo-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. NO Ministerio de Ciencia e Innovación DS Docta Complutense RD 23 dic 2025