Gelfand-Phillips property in Köthe spaces of vector valued functions (Q1192095)
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scientific article; zbMATH DE number 60500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gelfand-Phillips property in Köthe spaces of vector valued functions |
scientific article; zbMATH DE number 60500 |
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Gelfand-Phillips property in Köthe spaces of vector valued functions (English)
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27 September 1992
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Given a real Banach space \(X\) and a Köthe space \(E\), the space \(E(X)\) is defined by the norm \(\| f\|_{E(X)}=\|\| f(\cdot)\|_ X\|_ E\). The author proves that \(E(X)\) is a Gel'fand-Phillips space if and only if \(E\) and \(X\) are.
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Köthe space
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Gel'fand-Phillips space
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