Entropy numbers of weighted shifts (Q5952255)
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scientific article; zbMATH DE number 1688652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entropy numbers of weighted shifts |
scientific article; zbMATH DE number 1688652 |
Statements
Entropy numbers of weighted shifts (English)
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9 January 2002
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A lower bound of the entropy numbers for powers of weighted shift operators on \(\ell_p\) space \((1\leq p\leq\infty)\) is established. As an application of proven results, the two operator ideals \(E^{(e)}_q(\ell_p,\ell_p)\) and \(S^{(s)}_q(\ell_p,\ell_p)\) are identical for \(q\in (0,\infty)\).
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entropy numbers
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\(s\) numbers of operators
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lower bound of the entropy numbers
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powers of weighted shift operators
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operator ideals
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