2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59975Let S be the multiplication operator by an independent variable x in L_2(0,1) and V be an integral operator of Volterra type. We find conditions for T:=S+V to be similar to S and discuss some generalisations of the results obtained to an abstract setting.9 pages; Latex 2.09; submitted to Math. NotesFunctional AnalysisOn similarity of perturbed multiplication operatorstext