Abstract

AbstractLet A = (aj,k)j,k≥1 be a non-negative matrix. In this paper, we characterize those A for which ∥A∥E,F are determined by their actions on decreasing sequences, where E and F are suitable normed Riesz spaces of sequences. In particular, our results can apply to the following spaces: ℓp, d(w, p), and ℓp(w). The results established here generalize ones given by Bennett; Chen, Luor, and Ou; Jameson; and Jameson and Lashkaripour.

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