A supplement to a theorem of T. Ando (Q1094632)
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scientific article; zbMATH DE number 4026110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A supplement to a theorem of T. Ando |
scientific article; zbMATH DE number 4026110 |
Statements
A supplement to a theorem of T. Ando (English)
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1989
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According to T. Ando a Banach lattice X has order continuous norm iff every closed ideal is the range of a positive projection. It is shown that iff X is Dedekind \(\sigma\)-complete, it suffices to require that each closed ideal be complement in X.
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Banach lattice
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order continuous norm
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closed ideal
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range of a positive projection
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Dedekind \(\sigma \) -complete
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complement
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