Weak compactness of AM-compact operators (Q431540)
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scientific article; zbMATH DE number 6050942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak compactness of AM-compact operators |
scientific article; zbMATH DE number 6050942 |
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Weak compactness of AM-compact operators (English)
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28 June 2012
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weakly compact operator
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AM-compact operator
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b-weakly compact operator
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operator of strong type B
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Banach lattice
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order continuous norm
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KB-space
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reflexive space
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0.9327537
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0.9232955
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0.9201144
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0.9137805
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An operator \(T:E\rightarrow X\) from a Banach lattice \(E\) into a Banach space \(X\) is called AM-compact if \(T(B)\) is relatively compact for each order bounded subset \(B\) in \(E\). In general, AM-compact operators and weakly compact operators are distinct classes of operators.NEWLINENEWLINEAmong other things, the authors characterize Banach lattices for which each AM-compact operator \(T:E\rightarrow X\) is weakly compact.
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