Uniform Toeplitz matrices

I. J. Maddox

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:150785

DOI: 10.1155/S0161171290000345

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