Completeness of a normed space via strong p-Cesàro convergence

Soledad Moreno-Pulido


In this paper we will characterize the completeness and barrelledness of a normed space through the strong $p$-Cesáro convergence of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong $p$-Cesàro summability is obtained.


  • There are currently no refbacks.