Palazuelos Cabezón, CarlosSánchez Pérez, Enrique A.Tradacete Pérez, Pedro2023-06-202023-06-2020121841-7744https://hdl.handle.net/20.500.14352/44126We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from an L-r-space to an L-s-space. As an application, we prove a domination result in the sense of Dodds-Fremlin for p-summing operators on Banach lattices with cotype 2, showing moreover that this cannot hold in general for spaces with higher cotype. We also present a new characterization of Banach lattices satisfying a lower 2-estimate in terms of the order properties of 2-summing operators.engjournal articlehttp://www.mathjournals.org/jot/2012-068-001/2012-068-001-011.pdfhttp://www.mathjournals.org/restricted access51p-summing operatorpositive operatorBanach latticefactorizationDodds-Fremlin dominationMatemáticas (Matemáticas)12 Matemáticas