This is an announcement for the paper "Characterization of the matrix whose norm is determined by its action on decreasing sequences" by Chang-Pao Chen, Hao-Wei Huang, and Chun-Yen Shen.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: 15A60, 40G05, 47A30, 47B37

The source file(s), HWHshenfinal.tex: 34262 bytes, is(are) stored in gzipped form as 0706.1098.gz with size 11kb. The corresponding postcript file has gzipped size 96kb.

Submitted from: shenc@indiana.edu

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