Simple conditions for matrices to be bounded operators on $l_p$
Printed: Mar 1998
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.
Triangular matrices, Nörlund matrices, weighted means, operators, on $l_p$.
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