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

Chang-Pao Chen, Hao-Wei Huang, Chun-Yen Shen

Published 2007-06-07Version 1

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.