When do Toeplitz and Hankel operators commute? (Q1583711)
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scientific article; zbMATH DE number 1523221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When do Toeplitz and Hankel operators commute? |
scientific article; zbMATH DE number 1523221 |
Statements
When do Toeplitz and Hankel operators commute? (English)
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21 May 2001
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The author shows that non-trivial Toeplitz (\(T_\psi\)) and Hankel (\(H_\varphi\)) operators commute if and only if the symbol \(\varphi\) of Hankel operator is \(z\psi (z)\), where \(\psi(z)=a\xi (z)+b\), \(a\neq 0\) and \(\xi (z)\) is the characteristic function of certain ``anti-symmetric'' sets of the unit circle.
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Toeplitz operator
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Hankel operator
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symbol
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0.85089785
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0.85065293
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0.8421205
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0.8411216
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0.8411216
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0.8407878
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0.83861315
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