2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219926In this note we solve, except for extremely pathological cases, a question posed by Puglisi and Seoane-Sepulveda on the lineability of the set of bounded non-absolutely summing linear operators. We also show how the idea of the proof can be adapted to several related situations.7 pagesFunctional Analysis47B10Lineability of the set of bounded linear non-absolutely summing operatorstext