Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices (Q1300667)

Given a continuous function \(a\) on the complex unit circle, let \(T(a)\) denote the infinite Toeplitz matrix generated by \(a\) and let \(T_n (a)\) stand for the \((n+1)\times(n+1)\) principal section of \(T(a)\). This paper provides estimates for the speed with which \(\|T_n^{-1}(a)\|\) converges to \(\|T^{-1} (a)\|\). In the ``generic case'' the speed is estimated by the smoothness of \(a\).