RT Journal Article
T1 Finite rank perturbations of normal operators: spectral idempotents and decomposability
A1 Gallardo Gutiérrez, Eva Antonia
A1 González Doña, F. Javier
AB We prove that a large class of finite rank perturbations of diagonal operators and, in general, of diagonalizable normal operators of multiplicity one acting boundedly on a separable, infinite dimensional complex Hilbert space are decomposable operators in the sense of Colojoară and Foiaş [1]. Consequently, every operator T in such a class has a rich spectral structure and plenty of non-trivial closed hyperinvariant subspaces which extends, in particular, previous theorems of Foiaş, Jung, Ko and Pearcy [5], [6], [7], Fang and J. Xia [3] and the authors [8], [9] on an open question posed by Pearcy in the seventies.
PB ELSEVIER
YR 2023
FD 2023-08-30
LK https://hdl.handle.net/20.500.14352/87560
UL https://hdl.handle.net/20.500.14352/87560
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 14 may 2025