RT Journal Article T1 Matrix summability methods and weakly unconditionally Cauchy series. A1 Aizpuru, A. A1 PĂ©rez Eslava, C. A1 Seoane SepĂșlveda, Juan Benigno AB We 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. PB Rocky MT Math Consortim SN 0035-7596 YR 2009 FD 2009 LK https://hdl.handle.net/20.500.14352/43665 UL https://hdl.handle.net/20.500.14352/43665 LA eng DS Docta Complutense RD 26 ene 2026