On dual of Banach sequence spaces (Q2850108)
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scientific article; zbMATH DE number 6212353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dual of Banach sequence spaces |
scientific article; zbMATH DE number 6212353 |
Statements
26 September 2013
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Banach spaces
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asymptotically isometric copies
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nonseparable dual
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On dual of Banach sequence spaces (English)
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The authors investigate a class of Banach (weighted \(\ell _1\)-type) sequence spaces \(X_{\alpha ,1}\), introduced in [\textit{P. Azimi} and \textit{J. N. Hagler}, Pac. J. Math. 122, 287--297 (1986; Zbl 0609.46012)]. They show that the dual \(X^*_{\alpha ,1}\) contains asymptotically isometric copies of \(\ell _{\infty}\) and that it is nonseparable although \(X_{\alpha ,1}\) is a separable Banach space.
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