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On lower and upper bounds of matrices

Abstract

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.Comment: 18 page

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0904.2965oai:arXiv.org:0904.2965
Last time updated on April 13, 2012View original full text link

This paper was published in arXiv.org e-Print Archive.

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