2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227884We consider pairs of commuting isometries that are annihilated by a polynomial. We show that the polynomial must be inner toral, which is a geometric condition on its zero set. We show that cyclic pairs of commuting isometries are nearly unitarily equivalent if they are annihilated by the same minimal polynomial.Functional AnalysisAlgebraic Geometry47B20;14H50text