Abstract
It is shown that for certain classes of infinite block Toeplitz matricesT(a)=[a j-k ] 0 ∞ the Moore-Penrose inverses of the finite sectionT n (a)=[a j-k ] 0 n−1 converge to the Moore-Penrose inverse ofT(a). Furthermore the convergence for modified finite section methods and the finite section method for Wiener-Hopf integral and related operators are studied.
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