On the dual positive Schur property in Banach lattices

Abstract

The paper contains several characterizations of Banach lattices E with the dual positive Schur property, and various examples of spaces having this property. We also investigate relationships between the dual positive Schur property, the positive Schur property, the positive Grothendieck property and the weak Dunford-Pettis property. © 2012 The Author(s).