On lower and upper bounds of matrices

Details On lower and upper bounds of matrices On lower and upper bounds of matrices

2009-04-20

arxiv.org/abs/0904.2965v2

Mathematics

Functional Analysis

18 pages

Scientific paper

Using an approach of Bergh, we give an alternate proof of Bennett's result on
lower bounds for non-negative matrices acting on non-increasing non-negative
sequences in $l^p$ when $p \geq 1$ and its dual version, the upper bounds when
$0

matrices.

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