• ABOUT WEAK ALMOST LIMITED OPERATORS

A. Retbi*; B. El Wahbi

• ABOUT WEAK ALMOST LIMITED OPERATORS

A. Retbi*, B. El Wahbi

Abstract

We give a characterization of pairs of Banach lattices E, F for which every positive weak almost limited operator T: E →F is limited. Also, we characterize Banach space X and Banach lattice F for which each weak almost limited operator T: X →F is Dunford-Pettis, and we derive some consequences.

Keywords

weak almost limited operator, limited operator, Dunford-Pettis operator, Schur property, dual positive dual Schur property, order continuous norm.

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