Resumen de Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Lluís Miquel García Raffi, E.A. Sánchez-Pérez

• Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices. We generalize in this way several classical factorization results for operators between these spaces, as psumming operators.