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On the equality between some classes of operators on Banach lattices. (English) Zbl 1265.46035
Summary: We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of $$M$$-weakly compact operators, of $$L$$-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
MSC:
 46B42 Banach lattices 47B65 Positive linear operators and order-bounded operators
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