2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78629Three natural definitions for amenability of general Hopf C^*-algebras (all of them being generalizations of the case of locally compact groups) were given and the relations between them were studied. Moreover, amenability in the situation of duality of Hopf C^*-algebras was also studied.some changes in major terminology to avoid confusionOperator Algebras46L05, 46L55 (Primary); 43A07 (Secondary)text