Spaces of integrable functions with respect to a vector measure and factorizations through \(L^{p}\) and Hilbert spaces (Q879061)

Inspired by the work of Nikishin, Maurey and Rosenthal, the authors treat factorization theorems of operators between spaces of scalar integrable functions with respect to a vector measure through Lebesgue \(L_p\)-spaces, under some assumptions on such operators. Their technique is based on ideas of Maurey and the separation argument of Ky Fan's lemma.