# [Banach] Abstract of a paper by Chang-Pao Chen, Chun-Yen Shen, and Kuo-Zhong Wang

Dale Alspach alspach at www.math.okstate.edu
Sun Oct 14 09:28:13 CDT 2007

This is an announcement for the paper "Characterization of the
matrix whose norm is determined by its action on decreasing sequences:
The exceptional cases" by Chang-Pao Chen, Chun-Yen Shen, and Kuo-Zhong
Wang.

Abstract: Let $A=(a_{j,k})_{j,k \ge 1}$ be a non-negative matrix.
In this paper, we characterize those $A$ for which $\|A\|_{\ell_p,\ell_q}$
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.

Archive classification: math.FA math.CA

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

The source file(s), shenwang9409016.tex: 25759 bytes, is(are) stored
in gzipped form as 0710.0038.gz with size 8kb. The corresponding
postcript file has gzipped size 79kb.

Submitted from: shenc at indiana.edu

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http://front.math.ucdavis.edu/0710.0038

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http://arXiv.org/abs/0710.0038

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