J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa
M-weak and L-weak compactness of b-weakly compact operators

Comment.Math.Univ.Carolin. 54,3 (2013) 367-375.

Abstract:We characterize Banach lattices under which each b-weakly compact (resp.\ b-AM-compact, strong type (B)) operator is L-weakly compact (resp.\ M-weakly compact).

Keywords: b-weakly compact operator; b-AM-compact operator; strong type (B) operator; order continuous norm; positive Schur property
AMS Subject Classification: 46A40 46B40 46B42