%0 Journal Article 
%A Moreno Pulido, Soledad
%A Barbieri, Giuseppina
%A León Saavedra, Fernando
%A Pérez Fernández, Francisco Javier
%A Sala Pérez, Antonio
%T Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities
%D 2020
%@ 2227-7390
%U http://hdl.handle.net/10498/23592
%X In this manuscript we characterize the completeness of a normed space through the strong lacunary (N-theta) and lacunary statistical convergence (S-theta) of series. A new characterization of weakly unconditionally Cauchy series through N-theta and S-theta is obtained. We also relate the summability spaces associated with these summabilities with the strong p-Cesaro convergence summability space.
%K lacunary statistical summability
%K strong lacunary summability
%K weak unconditionally Cauchy series
%~ Universidad de Cádiz