Abstract
In the present paper, a new concept of weakly p-Cauchy sequences is introduced to study p-converging operators and Dunford–Pettis property of order p. The notion of p–(V) sets is defined to characterize Dunford–Pettis property of order p. We also introduce a complete locally convex topology by relatively weakly p-compact sets to quantify Dunford–Pettis property of order p.
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