RT journal article
T1 Orlicz–Pettis Theorem through Summability Methods
A1 León Saavedra, Fernando
A1 Romero de la Rosa, María Pilar
A1 Sala Pérez, Antonio
A2 Matemáticas
K1 summability method
K1 ideal convergence
K1 weakly unconditional Cauchy series
K1 Orlicz–Pettis theorem
AB This paper unifies several versions of the Orlicz–Pettis theorem that incorporatesummability methods. We show that a series is unconditionally convergent if and only if the seriesis weakly subseries convergent with respect to a regular linear summability method. This includesresults using matrix summability, statistical convergence with respect to an ideal, and other variationsof summability methods.
PB MDPI
SN 2227-7390
YR 2019
FD 2019-10
LK http://hdl.handle.net/10498/22122
UL http://hdl.handle.net/10498/22122
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026