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Finite sections of truncated Toeplitz operators. (English) Zbl 1325.47064

Summary: We describe the \(C^\ast\)-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space \(K^{2}_{u}\) where \(u\) is an infinite Blaschke product. As consequences, we get a stability criterion for the finite sections discretization and results on spectral and pseudospectral approximation.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
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