2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74798A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Ando's inequality for commuting matrix contractions can be sharpened to looking at the maximum modulus on a distinguished variety, not the whole bidisk. We show that uniqueness sets for extremal Pick problems on the bidisk always contain a distinguished variety.Functional AnalysisComplex Variables47A20text