%0 Journal Article
%T On lower and upper bounds of matrices
%A Peng Gao
%J Mathematics
%D 2009
%I arXiv
%X 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 $0<p \leq 1$. We also determine such bounds explicitly for some families of matrices.
%U http://arxiv.org/abs/0904.2965v2