A sufficient condition for the Dunford-Pettis property in Banach spaces

Abstract

In this paper we will give a sufficient condition for Dunford-Pettis property in Banach spaces. More precisely, if Banach space X has a basic, normalized system of vectors (x_n), which is f(n)-approximate l1, then X has the Dunford-Pettis property.

Keywords

• dunford-pettis property
• f(n)-approximate l1 sequence