On absolute almost convergence (Q1190319)
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scientific article; zbMATH DE number 57292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On absolute almost convergence |
scientific article; zbMATH DE number 57292 |
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On absolute almost convergence (English)
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27 September 1992
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By analogy with the sequence space \(\ell_ p\) \((p>0)\), the concept of \(\hat\ell_ p\) was first introduced in [the authors, Trans. Am. Math. Soc. 283, 729-739 (1984; Zbl 0546.46004)]. In this paper the authors present certain negative results for \(\hat\ell_ p\). As a sample: for \(1<p<\infty\), the spaces \(\hat\ell_ p\) and \(\widehat{\hat\ell_ p}\) are not separable (so, in particular, are not Hilbert spaces).
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sequence spaces
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absolute almost convergence
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separable spaces
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