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When do Toeplitz and Hankel operators commute? (English) Zbl 0961.47015
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.

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
Full Text: DOI
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