Characterization of the matrix whose norm is determined by its action on decreasing sequences:The exceptional cases

Chang-Pao Chen, Chun-Yen Shen, Kuo-Zhong Wang

Let $A=(a_{j,k}{)}_{j,k\ge 1}$ be a non-negative matrix. In this paper, we characterize those $A$ for which $\Vert A{\Vert }_{{\ell }_p,{\ell }_q}$ are determined by their actions on non-negative d…