We describe the C*-algebra associated with the finite sections discretization of truncated Toeplitz
operators on the model space K2u 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.
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 Roch, S., Silbermann, B., C*-algebra techniques in numerical analysis, J. Oper. Theory, 1996, 2, 241-280
 Roch, S., Silbermann, B., Index calculus for approximation methods and singular value decomposition, J.Math. Anal. Appl.,
 Sarason, D., Algebraic properties of truncated Toeplitz operators, Oper. Matrices, 2007, 4, 491-526
 Treil, S.R., Invertibility of Toeplitz operators does not imply applicability of the finite section method, Dokl. Akad. Nauk
SSSR, 1987, 3, 563-567 (Russian)
 Böttcher, A., Silbermann, B., Introduction to Large Truncated Toeplitz Matrices, Springer-Verlag, Berlin, Heidelberg, 1999
 Hagen, R., Roch, S., Silbermann, B., C*-Algebras and Numerical Analysis, Marcel Dekker, Inc., New York, Basel, 2001
 Nikolski, N.K., Treatise on the Shift Operator, Springer-Verlag, Berlin, 1986
 Garcia, S.R., Ross, W.T., Wogen, W.R., C*-algebras generated by truncated Toeplitz operators, In: Cepedello Boiso, M.,
Hedenmalm, H., Kaashoek, M., Montes Rodriguez, A., Treil, S. (Eds). Concrete Operators, Spectral Theory, Operators in Harmonic
Analysis and Approximation, 22nd Workshop in Operator Theory and Its Applications (Sevilla, July 2011), Springer,
Basel, 2014, 181-192
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