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

Abstract

135 142 6 2 ; SWORD ; [EN] 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. The authors acknowledge the support of the Generalitat Valenciana, Spain, grant GV04B-371, the Spanish Ministry of Science and Technology, Plan Nacional I+D+I , grant BFM2003-02302; and the support of the Universidad Polit´ecnica de Valencia, under grant 2003-4114 for Interdisciplinary Research Projects. Garcia-Raffi, L.; Sánchez-Pérez, E. (2005). Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators. Applied General Topology. 6(2):135-142. doi:10.4995/agt.2005.1952.