2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111498It is shown that a contraction on a Hilbert space is complex symmetric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugation. Applications are given to the description of complex symmetric contractions with defect indices equal to 2.Functional AnalysisOperator Algebras47A45; 47B15The characteristic function of a complex symmetric contractiontext