Regular summability and generalised almost convergence (Q1915880)

The authors translate the notion of \(\widetilde {A}\)-summability (introduced by \textit{H. T. Bell} [Proc. Am. Math. Soc. 38, 548-552 (1973; Zbl 0259.40003)] and \textit{M. Stieglitz} [Math. Jap. 18, 53-70 (1973; Zbl 0279.40003)]) from spaces of convergent sequences to spaces of convergent series and call the new method \(\widetilde {B}\). They show that \(\widetilde {B}\) is regular if and only if \(\widetilde {A}\) is regular.