Electronic International Standard Serial Number (EISSN)
1096-0783
abstract
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
Classification
subjects
Mathematics
keywords
compact perturbations of normal operators; invariant subspaces; spectral subspaces; decomposable operators