Difference sequence spaces (Q1273327)
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scientific article; zbMATH DE number 1230045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Difference sequence spaces |
scientific article; zbMATH DE number 1230045 |
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Difference sequence spaces (English)
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9 February 2000
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Let \(p= (p_k)\) be a sequence of positive reals and let \(r\geq 1\). The authors describe the \(\alpha\)- and \(\beta\)-duals of the sequence space \(S_r(p,\Delta):= \{x= (x_k)\mid \lim_k|k^r(x_k- x_{k+ 1})|^{p_k}= 0\}\) and characterize the matrix classes \((S_r(p,\Delta), \ell_\infty)\) and \((S_r(p, \Delta),\ell_1)\).
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difference sequence spaces
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Köthe-Toeplitz duals
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\(\alpha\)- and \(\beta\)-duals
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