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

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dc.creatorChen, Chang-Pao
dc.creatorShen, Chun-Yen
dc.creatorWang, Kuo-Zhong
dc.date2007-09-29
dc.date.accessioned2026-07-07T08:33:06Z
dc.date.available2026-07-07T08:33:06Z
dc.descriptionLet $A=(a_{j,k})_{j,k \ge 1}$ 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.
dc.identifierhttps://arxiv.org/abs/0710.0038
dc.identifierhttp://arxiv.org/abs/0710.0038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139012
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject15A60, 47A30, 47B37
dc.titleCharacterization of the matrix whose norm is determined by its action on decreasing sequences:The exceptional cases
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