Hahn-Banach-Kantorovich type theorems with the range space not necessarily \((O)\)-complete (Q698554)
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scientific article; zbMATH DE number 1803273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hahn-Banach-Kantorovich type theorems with the range space not necessarily \((O)\)-complete |
scientific article; zbMATH DE number 1803273 |
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Hahn-Banach-Kantorovich type theorems with the range space not necessarily \((O)\)-complete (English)
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11 March 2004
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The authors prove a generalization of the Hahn-Banach-Kantorovich theorem on the continuation of positive operators: Let \(X\) be a separable Banach lattice, \(G\) a majorizing subspace of \(X\), and \(Y\) a Banach lattice with the Cantor property. Then each positive linear operator \(T: G\to Y\) has a positive linear extension to \(X\).
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Banach lattice
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continuation of positive operators
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Cantor property
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strong \((O)\)-interpolation property
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