TY - GEN AU - Moreno Pulido, Soledad AU - Barbieri, Giuseppina AU - León Saavedra, Fernando AU - Pérez Fernández, Francisco Javier AU - Sala Pérez, Antonio A4 - Matemáticas PY - 2020 SN - 2227-7390 UR - http://hdl.handle.net/10498/23592 AB - 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... LA - eng PB - MDPI KW - lacunary statistical summability KW - strong lacunary summability KW - weak unconditionally Cauchy series TI - Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities DO - 10.3390/math8071066 ER -