Noninclusion theorems for summability matrices

J. A. Fridy

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-6

Abstract:

For both ordinary convergence and ℓ 1 -summability explicit sufficient conditions on a matrix have long been known that ensure that the summability method is strictly stronger than the identity map. The main results herein show that a matrix that satisfies those conditions can be included by another matrix only if the other matrix satisfies those same conditions.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:514601

DOI: 10.1155/S0161171297000690

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