Positive compact quasinilpotent operators (Q1071237)
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scientific article; zbMATH DE number 3937875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive compact quasinilpotent operators |
scientific article; zbMATH DE number 3937875 |
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Positive compact quasinilpotent operators (English)
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1986
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It is shown that every positive compact quasinilpotent operator on a Banach lattice E with order continuous norm is the supremum of an increasing system of positive compact nilpotent operators. As a corollary, every positive compact quasinilpotent operator on a Banach lattice E with the norms in both E and in \(E^*\) order continuous is the norm limit of an increasing sequence of positive compact nilpotent operators.
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positive compact quasinilpotent operator on a Banach lattice
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order continuous norm
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