Matrix summability method
= Matrix summability method
{title2=$A_i(x)=\sum_j a_{ij}x_j$}
A matrix summability method takes the ordinary <limit of a sequence> of the row sums $A_i(x)$, whenever every row series converges and the resulting sequence has a finite limit. For rows in the <absolutely summable sequence space> with uniformly bounded norms, the matrix defines a <bounded linear operator> from the <l-infinity sequence space> to itself.