Completeness of a Normed Space via Strong p-Cesàro Summability
arXiv:2402.06324 · doi:10.2298/FIL1910013L
Abstract
In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Cesàro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Cesàro summability is obtained.