Spaces of integrable functions with respect to vector measures of convex range and factorization of operators from L_p-spaces

E.A. Sánchez Pérez

Vol. 207 (2002), No. 2, 489–495

DOI: 10.2140/pjm.2002.207.489

Abstract

If G is a Banach space valued measure whose range range is convex, we consider the space of G-integrable functions. We also establish a factorization result for operators from L_p(μ) through L₁(G). We apply these results in order to obtain a description of the range of p^′-summing operators from L_p-spaces.

Milestones

Published: 1 December 2002