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

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

2007-06-07

arxiv.org/abs/0706.1098v1

Mathematics

Functional Analysis

Scientific paper

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.

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