The modulus of a weakly compact operator (Q1087813)
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scientific article; zbMATH DE number 3988052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The modulus of a weakly compact operator |
scientific article; zbMATH DE number 3988052 |
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The modulus of a weakly compact operator (English)
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1987
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We answer the following two questions: (I) What order complete Banach lattices E have the property: if K is a compact Hausdorff space, then every weakly compact operator C(K)\(\to E\) is regular (in the sense of Riesz space theory)? (II) What weakly Fatou order complete Banach lattices E have the property: if K is a compact Hausdorff space and if T is a regular compact operator C(K)\(\to E\), then \(| T|\) is weakly compact?
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Riesz space
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weakly Fatou order complete Banach lattices
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0.9236001
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0.9160291
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0.9031095
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0.90155524
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0.90035844
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0.89005274
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