Zu einer Frage von Wilansky (Q1072057)
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scientific article; zbMATH DE number 3942205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zu einer Frage von Wilansky |
scientific article; zbMATH DE number 3942205 |
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Zu einer Frage von Wilansky (English)
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1987
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Wilansky asks whether \(c_ o\) is the only FK-AD-space X with \(X^{\beta}=\ell^ 1\). We prove that the answer is in the positive. More generally we prove that given a BK-AK-space Y whose \(\beta\)-dual \(Y^{\beta}\) is an AK-space, then every FK-AD-space X with \(X^{\beta}=Y^{\beta}\) must in fact be Y.
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FK-AD-space
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BK-AK-space
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\(\beta \)-dual
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