Basor, Estelle L.; Ehrhardt, Torsten Determinant computations for some classes of Toeplitz-Hankel matrices. (English) Zbl 1198.47042 Oper. Matrices 3, No. 2, Article ID 09, 167-186 (2009). 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. Reviewer: Vladimir V. Peller (East Lansing) Cited in 12 Documents 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.) Keywords:Toeplitz operator; Hankel operator; asymptotics of determinants Citations:Zbl 0439.33014; Zbl 0970.47014 PDFBibTeX XMLCite \textit{E. L. Basor} and \textit{T. Ehrhardt}, Oper. Matrices 3, No. 2, Article ID 09, 167--186 (2009; Zbl 1198.47042) Full Text: arXiv Link