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2014•Bulletin of the Belgian Mathematical Society - Simon StevinRequires access

Some results on AM-compact operators

Abdelmonaim El Kaddouri, Mohammed Moussa

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Abstract

We characterize Banach lattices under which each AM-compact (resp.\nb-AM-compact) operator is Dunford-Pettis. Also, we study the\nAM-compactness of limited completely continuous operators.

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What this paper is about

We characterize Banach lattices under which each AM-compact (resp.\nb-AM-compact) operator is Dunford-Pettis. Also, we study the\nAM-compactness of limited completely continuous operators.

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Available abstract

We characterize Banach lattices under which each AM-compact (resp.\nb-AM-compact) operator is Dunford-Pettis. Also, we study the\nAM-compactness of limited completely continuous operators.

Key concepts: Computer science

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