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Large sections of Bergman space Toeplitz operators with piecewise continuous symbols. (English) Zbl 0779.47022

The authors consider a question of asymptotic invertibility for Bergman space Toeplitz operators with piecewise continuous symbol. They give a criterion for asymptotic invertibility of such operators. This problem is connected with applicability of the finite section method to Toeplitz operators. The case of continuous symbols was earlier considered in the previous works [A. Böttcher, Monatsh. Math. 110, No. 1, 23-32 (1990; Zbl 0727.47012); A. Böttcher, H. Wolf, Bull. Am. Math. Soc., New Ser. 25, No. 2, 365-372 (1991; Zbl 0751.47010)].

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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