# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 35 (2006) pp.587-599

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### Abstract

It is first shown that a certain class of regular factorable matrices is equivalent to $C$, the Ces\'{a}ro matrix of order one. As a corollary it is shown that the matrix $A$ of [1] is equivalent to $C$. Then most of the results of [1] and [3] are extended to regular factorable matrices.

MSC(Primary) 46A35 46A45, 46B45 $\alpha$ dual, $\beta$ dual, Ces\'{a}ro summability, $\gamma$ dual, factorable matrices, $\ell_p$ spaces, weighted mean matrices