2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62622We consider an integral dissipative operator in its Brodskii-Livshits triangular representation. The main question we are concerned with is similarity of the operator to a normal one. We obtain necessary as well as sufficient conditions for the similarity. The study is based on functional model technique.AMSTex, 31 pagesClassical Analysis and ODEsSpectral Theory47B15, 47G10Criteria for Similarity of a Dissipative Integral Operator to a Normal Operatortext