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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Absolute summability matrices that are stronger than the identity mapping

Author: J. A. Fridy
Journal: Proc. Amer. Math. Soc. 47 (1975), 112-118
MathSciNet review: 0350249
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Abstract: The main result gives a simple column-sum property which implies that the matrix $ A$ maps $ {l_A}$ properly into $ {l^1}$, i.e., $ {l^1} \subsetneqq {A^{ - 1}}[{l^1}]$. Also, the means of Nörlund, Euler-Knopp, Taylor, and Hausdorff are investigated as mappings of $ {l^1}$ into itself.

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Keywords: $ l - l$ matrix, sum-preserving, Nörlund means, Euler-Knopp means, Taylor method, Hausdorff means, quasi-Hausdorff means, regular mass function
Article copyright: © Copyright 1975 American Mathematical Society