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# Simple conditions for matrices to be bounded operators on $l_p$

Published:1998-03-01
Printed: Mar 1998
• David Borwein
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## Abstract

The two theorems proved yield simple yet reasonably general conditions for triangular matrices to be bounded operators on $l_p$. The theorems are applied to N\"orlund and weighted mean matrices.
 Keywords: Triangular matrices, Nörlund matrices, weighted means, operators, on $l_p$.
 MSC Classifications: 47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47A30 - Norms (inequalities, more than one norm, etc.) 40G05 - Cesaro, Euler, Norlund and Hausdorff methods

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