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# Erratum: The Duality Problem For The Class of AM-Compact Operators On Banach Lattices

Published:2011-04-06
Printed: Dec 2011
• Belmesnaoui Aqzzouz,
Université Mohammed V-Souissi, Faculté des Sciences Économiques Juridiques et Sociales, Département d'Économie, B. P. 5295 SalaEljadida, Morocco
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## Abstract

It is proved that if a positive operator $S: E \rightarrow F$ is AM-compact whenever its adjoint $S': F' \rightarrow E'$ is AM-compact, then either the norm of F is order continuous or $E'$ is discrete. This note corrects an error in the proof of Theorem 2.3 of B. Aqzzouz, R. Nouira, and L. Zraoula, The duality problem for the class of AM-compact operators on Banach lattices. Canad. Math. Bull. 51(2008).
 MSC Classifications: 46A40 - Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] 46B40 - Ordered normed spaces [See also 46A40, 46B42] 46B42 - Banach lattices [See also 46A40, 46B40]

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