Absolute summability matrices that are stronger than the identity mapping
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- by J. A. Fridy PDF
- Proc. Amer. Math. Soc. 47 (1975), 112-118 Request permission
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.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 112-118
- DOI: https://doi.org/10.1090/S0002-9939-1975-0350249-7
- MathSciNet review: 0350249