Finite sections of classical Toeplitz matrices have been heavily studied in the last decades due to its several applications in particular to engineering problems. Variablecoefficient Toeplitz matrices generalize these ones. We will present results on the asymtotic behaviour of the singular values, pseudospectrum and the trace (in the sense of Extensions of Szegötype theorems) for these type os sequences. The talk is based on joint work with B. Silbermann.
