Abstract
Square matrices of the form \({X_n = T_n + f_n(T_n^{-1})^*}\), where T n is a \({n \times n}\) invertible banded Toeplitz matrix and f n some positive sequence are considered. Convergence via an order estimate is proven for the difference of \({\|X_n^{-1}\|}\) and a function depending only on f n . Fredholmness of the infinite counterpart of T n is shown to greatly affect this result. A correction of a proof in the paper on which the current research is based, is appended as well.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
