The Dunford-Pettis property and the Gelfand-Phillips property are studied in the context of spaces of operators. The idea of L-sets is used to give a dual characterization of the Dunford-Pettis property.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-11, author = {Ioana Ghenciu and Paul Lewis}, title = {The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets}, journal = {Colloquium Mathematicae}, volume = {106}, year = {2006}, pages = {311-324}, zbl = {1118.46017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-11} }
Ioana Ghenciu; Paul Lewis. The Dunford-Pettis property, the Gelfand-Phillips property, and L-sets. Colloquium Mathematicae, Tome 106 (2006) pp. 311-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-2-11/