Matrix summability methods and weakly unconditionally Cauchy series.

Aizpuru, A.Pérez Eslava, C.Seoane Sepúlveda, Juan Benigno2023-06-202023-06-2020090035-759610.1216/RMJ-2009-39-2-367https://hdl.handle.net/20.500.14352/43665We study new sequence spaces determined by series in normed spaces and a matrix summability method, giving new characterizations of weakly unconditionally Cauchy series. We obtain characterizations for the completeness of a normed space, and a version of the Orlicz-Pettis theorem via matrix summability methods is also proved.engMatrix summability methods and weakly unconditionally Cauchy series.journal articlehttp://rmmc.eas.asu.edu/abstracts/rmj/vol39-2/aizppag1.pdfhttp://projecteuclid.org/rmjmopen access517.98Matrix summabilityWeakly unconditionally Cauchy seriesOrlicz-Pettis theoremAnálisis funcional y teoría de operadores