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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 3, Pages 189-195
doi:10.1155/S0161171200002520

The ℓ-translativity of Abel-type matrix

Mulatu Lemma

Department of Mathematics, Savannah State University, Savannah 31404, Georgia, USA

Abstract

Lemma introduced the Abel-type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α>−1, 0<tn<1, for all n, and limtn=1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ-ℓ setting.