On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences

Details On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences

2008-10-06

arxiv.org/abs/0810.0888v1

Mathematics

Functional Analysis

12 pages

Scientific paper

We give a condition on weighted mean matrices so that their $l^p$ norms are
determined on decreasing sequences when the condition is satisfied. We apply
our result to give a proof of a conjecture of Bennett and discuss some related
results.

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