Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-2004-106
Keywords
KB-operator, b-weakly compact operator, Banach lattice, ordered Banach space, normal cone
First Page
1736
Last Page
1743
Recommended Citation
ALTIN, B, & MACHRAFI, N (2020). Some characterizations of KB-operators on Banach lattices and ordered Banach spaces. Turkish Journal of Mathematics 44 (5): 1736-1743. https://doi.org/10.3906/mat-2004-106
