AM-compactness of positive Dunford-Pettis operators on Banach lattices (Q2467948)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | AM-compactness of positive Dunford-Pettis operators on Banach lattices |
scientific article |
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AM-compactness of positive Dunford-Pettis operators on Banach lattices (English)
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29 January 2008
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The authors characterize Banach lattices \(E, F\) where each positive order weakly compact operator from \(E\) into \(F\) is a Dunford-Pettis operator. They further give a characterization of Banach lattices \(E,F\) where each positive Dunford-Pettis operator from \(E\) into \(F\) is AM-compact. They also consider the converse of the last theorem.
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AM-compact operator
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Dunford-Pettis operator
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order-continuous norm
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discrete Banach lattice
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