1. CMB 1998 (vol 41 pp. 10)
|Simple conditions for matrices to be bounded operators on $l_p$ |
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, NÃ¶rlund matrices, weighted means, operators, on $l_p$.
Categories:47B37, 47A30, 40G05