2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139012Let $A=(a_{j,k})_{j,k \ge 1}$ be a non-negative matrix. In this paper, we characterize those $A$ for which $\|A\|_{\ell_p,\ell_q}$ are determined by their actions on non-negative decreasing sequences, where one of $p$ and $q$ is 1 or $\infty$. The conditions forcing on $A$ are sufficient and they are also necessary for non-negative finite matrices.Functional AnalysisClassical Analysis and ODEs15A60, 47A30, 47B37Characterization of the matrix whose norm is determined by its action on decreasing sequences:The exceptional casestext