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Determinant computations for some classes of Toeplitz-Hankel matrices. (English) Zbl 1198.47042

The authors study asymptotics of finite sections determinants of trace class perturbations of Toeplitz operators. For certain classes of such operators, analogs of the Strong Szegő Limit Theorem hold. The authors also find identities for some of the determinants that are analogs of the formula obtained by Geronimo–Case and Borodin–Okunkov.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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