@misc{10498/22122,
year = {2019},
month = {10},
url = {http://hdl.handle.net/10498/22122},
abstract = {This paper unifies several versions of the Orlicz–Pettis theorem that incorporate
summability methods. We show that a series is unconditionally convergent if and only if the series
is weakly subseries convergent with respect to a regular linear summability method. This includes
results using matrix summability, statistical convergence with respect to an ideal, and other variations
of summability methods.},
publisher = {MDPI},
keywords = {summability method},
keywords = {ideal convergence},
keywords = {weakly unconditional Cauchy series},
keywords = {Orlicz–Pettis theorem},
title = {Orlicz–Pettis Theorem through Summability Methods},
doi = {10.3390/math7100895},
author = {León Saavedra, Fernando and Romero de la Rosa, María Pilar and Sala Pérez, Antonio},
}