@misc{10498/23592,
year = {2020},
month = {7},
url = {http://hdl.handle.net/10498/23592},
abstract = {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.},
publisher = {MDPI},
keywords = {lacunary statistical summability},
keywords = {strong lacunary summability},
keywords = {weak unconditionally Cauchy series},
title = {Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities},
doi = {10.3390/math8071066},
author = {Moreno Pulido, Soledad and Barbieri, Giuseppina and León Saavedra, Fernando and Pérez Fernández, Francisco Javier and Sala Pérez, Antonio},
}