The Dunford–Pettis property, the Gelfand–Phillips property, and $L$-sets
Volume 106 / 2006
Colloquium Mathematicum 106 (2006), 311-324
MSC: 46B20, 46B25, 46B28.
DOI: 10.4064/cm106-2-11
Abstract
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.