On the p-Dunford–Pettis relatively compact property of Banach spaces

The p-Dunford–Pettis relatively compact property ( \(1\le p<\infty\) $1\le p<\infty$ )is studied in individual Banach spaces and in spaces of operators. The questionof whether a space of operators has the p-Dunford–Pettis relatively compactproperty is studied using Dunford–Pettis p-convergent evaluation operators.