Resumen de On operators that preserve the Radon-Nikodým property

Antonio Martínez Abejón, Miguel González Velasco, Javier Pello-García

• We consider a certain class RN+ of operators that preserve the Radon-Nikod´ym property. Conjugate operators in RN+ can be characterized as those operators T such that the kernel N(T+K) has the Radon-Nikod´ym property for every compact operator K. A construction by J. Bourgain involving infinite convolution products of measures in the Cantor group provides examples of operators T : L1 ! L1 in the class RN+. As an application, we show the existence of Banach spaces which are L1-spaces, have the Radon- Nikod´ym property and contain infinite-dimensional reflexive subspaces