On the norm of a Hilbert's type linear operator and applications (Q854069)
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scientific article; zbMATH DE number 5078944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the norm of a Hilbert's type linear operator and applications |
scientific article; zbMATH DE number 5078944 |
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On the norm of a Hilbert's type linear operator and applications (English)
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7 December 2006
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The author introduces a characterization of the norm of a Hilbert type linear operator \(T:\ell^{r}\rightarrow \ell^{r}\), where \(r>1\), \(r=p, q\) with \(1/p+1/q=1\). Applications of this characterization are given.
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Hilbert type linear operator
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operator norm
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\(\beta\) function
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Hilbert type inequality
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