TURKISH JOURNAL OF MATHEMATICS, vol.44, no.5, pp.1736-1743, 2020 (Peer-Reviewed Journal)
Article / Article
TURKISH JOURNAL OF MATHEMATICS
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We determine that two recent classes of KB-operators and weak KB-operators and the well-known class of b-weakly compact operators, from a Banach lattice into a Banach space, are the same. We extend our study to the ordered Banach space setting by showing that a weak chain-preserving operator between two ordered Banach spaces is a KB-operator if and only if it is a weak KB-operator.