%0 Journal Article 
%A León Saavedra, Fernando
%A Romero de la Rosa, María Pilar
%A Sala Pérez, Antonio
%T Orlicz–Pettis Theorem through Summability Methods
%D 2019
%@ 2227-7390
%U http://hdl.handle.net/10498/22122
%X 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.
%K summability method
%K ideal convergence
%K weakly unconditional Cauchy series
%K Orlicz–Pettis theorem
%~ Universidad de Cádiz