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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 227-232
doi:10.1155/S0161171290000345

Uniform Toeplitz matrices

Ivor J. Maddox

Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 1NN, Ireland

Abstract

We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set. Also, we give a Tauberian theorem for uniform summability by the Kuttner-Maddox matrix.