Geodesic
AM-Compactness of some classes of operators
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 509-518

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MR

We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
Classification : 46A40, 46B40, 46B42
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 
Aqzzouz, Belmesnaoui; H'michane, Jawad. AM-Compactness of some classes of operators. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 509-518. http://geodesic.mathdoc.fr/item/CMUC_2012_53_4_a0/
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     year = {2012},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_4_a0/}
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