On operators that preserve the Radon-Nikodým property

  1. Martínez Abejón, Antonio
  2. Pello-García, Javier
  3. González Velasco, Miguel
  1. 1 Universidad de Oviedo
    info

    Universidad de Oviedo

    Oviedo, España

    ROR https://ror.org/006gksa02

Revista:
Extracta mathematicae

ISSN: 0213-8743

Año de publicación: 2007

Título del ejemplar: Banach space theory: classical topics and new directions. Cáceres 2006

Volumen: 22

Número: 2

Páginas: 191-196

Tipo: Artículo

DIALNET GOOGLE SCHOLAR lock_openDehesa editor

Otras publicaciones en: Extracta mathematicae

Resumen

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

Fuente de los datos: Dialnet