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About the class of ordered limited operators

A. El Kaddouri; Mohammed Moussa — 2013

Acta Universitatis Carolinae. Mathematica et Physica

We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.

M-weak and L-weak compactness of b-weakly compact operators

J. H'Michane; A. El Kaddouri; K. Bouras; M. Moussa — 2013

Commentationes Mathematicae Universitatis Carolinae

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).

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