Abstract
In this paper, we define the spaces omega(p, s) and omega(p)(s), where
omega(p, s) = {x : 1/n Sigma K-n(k=1)-s vertical bar x(k) - l vertical bar(pk) -> 0 for some l, s >= 0}
and if p(k) = p for each k, we have omega(p, s) = omega(p)(s). We further characterize the matrix classes (omega(p, s), V-sigma), (omega(p)(s), V-sigma) and (omega(p)(s), V-sigma)(reg), where V-sigma denotes the set of bounded sequences all of whose sigma-mean are equal.