Application of sets to some classes of operators
Kamal El Fahri, Nabil Machrafi, Jawad H'michane, Aziz Elbour (2016)
Mathematica Bohemica
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The paper contains some applications of the notion of sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order -Dunford-Pettis operators, that is, operators from a Banach space into a Banach lattice whose adjoint maps order bounded subsets to an sets. As a sequence characterization of such operators, we see that an operator from a Banach space into a Banach lattice is order -Dunford-Pettis, if and only if for for every...