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 2025 Acuerdos transformativos CRUE NO Ministerio de Ciencia e Innovación (España) DS Docta Complutense RD 26 feb 2026