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Matrices whose norms are determined by their actions on decreasing sequences
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Matrices whose norms are determined by their actions on decreasing sequences

Chang-Pao Chen, Hao-Wei HuangChun-Yen Shen
Canadian Journal of Mathematics, 卷.60(3), 頁碼.520-531
2008

摘要

Matrices with row decreasing Normed Riesz spaces Norms of matrices Nörlund mean matrices Summability matrices Weighted mean matrices Mathematics (all)
Let A = (a j.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: ℓ p , d(w, p), and ℓ p (w). The results established here generalize ones given by Bennett; Chen, Luor, and Ou; Jameson; and Jameson and Lashkaripour. ©Canadian Mathematical Society 2008.

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https://doi.org/10.4153/CJM-2008-025-5檢視
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