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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130023Let $A=(a_{j,k})_{j,k \ge 1}$ 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.Functional Analysis15A60, 40G05, 47A30, 47B37Characterization of the matrix whose norm is determined by its action on decreasing sequencestext