%0 Journal Article %A Flores Álvarez, Julio %A Hernández, Francisco L. %T Domination by positive disjointly strictly singular operators %D 2001 %@ 0002-9939 %U https://hdl.handle.net/20.500.14352/57468 %X We prove that each positive operator from a Banach lattice E to a Banach lattice F with a disjointly strictly singular majorant is itself disjointly strictly singular provided the norm on F is order continuous. We prove as well that if S : E --> E is dominated by a disjointly strictly singular operator, then S-2 is disjointly strictly singular. %~