Geodesic
A note on the positive Schur property
Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 169-172

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this note is to characterize those Banach lattices (E, ∥·∥) which have the property:an operator T: E → c0 is a Dunford-Pettis operator if and only if T is regular (*)(i.e., T is the difference of two positive operators). Our characterization generalizes a theorem recently proved by Holub [6] and Gretsky and Ostroy [4], who have remarked that the space L1[0, 1] has the property (*). The main result presented here is the following theorem. 
Wnuk, Witold. A note on the positive Schur property. Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 169-172. doi: 10.1017/S0017089500007692
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