RT journal article
T1 Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities
A1 Moreno Pulido, Soledad
A1 Barbieri, Giuseppina
A1 León Saavedra, Fernando
A1 Pérez Fernández, Francisco Javier
A1 Sala Pérez, Antonio
A2 Matemáticas
K1 lacunary statistical summability
K1 strong lacunary summability
K1 weak unconditionally Cauchy series
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 S-theta is obtained. We also relate the summability spaces associated with these summabilities with the strong p-Cesaro convergence summability space.
PB MDPI
SN 2227-7390
YR 2020
FD 2020-07
LK http://hdl.handle.net/10498/23592
UL http://hdl.handle.net/10498/23592
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-nov-2026