2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170763We give a condition on weighted mean matrices so that their $l^p$ norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof of a conjecture of Bennett and discuss some related results.12 pagesFunctional Analysis47A30On weighted mean matrices whose $l^p$ norms are determined on decreasing sequencestext