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arXiv · 0706.1098

Characterization of the matrix whose norm is determined by its action on decreasing sequences

Chang-Pao Chen·Hao-Wei Huang·Chun-Yen Shen
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Abstract

Let $A=(a_{j,k})_{j,k \ge 1}$ 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.

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Chang-Pao Chen, Hao-Wei Huang, Chun-Yen Shen. 2007-06-07. Characterization of the matrix whose norm is determined by its action on decreasing sequences. https://arxiv.org/abs/0706.1098

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