TY - JOUR AU - Gallardo Gutiérrez, Eva Antonia AU - González Doña, Javier PY - 2022 DO - 10.1017/prm.2022.51 SN - 0308-2105 UR - https://hdl.handle.net/20.500.14352/71955 T2 - Proceedings of the Royal Society of Edinburgh: Section A Mathematics AB - We study the existence of reducing subspaces for rank-one perturbations of diagonal operators and, in general, of normal operators of uniform multiplicity one. As we will show, the spectral picture will play a significant role in order to prove the... LA - eng M2 - 1 PB - Cambridge University Press KW - Reducing subspaces KW - Rank-one perturbation of diagonal operators KW - Rank-one of normal operators TI - Reducing subspaces for rank-one perturbations of normal operaators TY - journal article ER -