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The strong Dunford-Pettis relatively compact property of order p

The strong Dunford-Pettis relatively compact property of order p

We introduce and study Banach lattices with the strong Dunford-Pettis relatively compact property of order p (1 ? p < ?); that is, spaces in which every weakly p-compact and almost Dunford-Pettis set is relatively compact. We also introduce the notion of the weak Dunford-Pettis property of order p and …