Abstract:We characterize Banach lattices on which each regular order weakly compact (resp.\ b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
Keywords: AM-compact operator, order weakly compact operator, b-weakly compact operator, almost Dunford-Pettis operator, b-AM-compact operator, order continuous norm, discrete Banach lattice
AMS Subject Classification: 46A40 46B40 46B42