Departamento de Matemáticas, Universidad de Cádiz, Apdo. 40, 11510-Puerto Real (Cádiz), Spain
Abstract:
In this paper we obtain new characterizations of weakly unconditionally Cauchy series and unconditionally convergent series through Cesàro summability. We study new spaces associated to a series in a Banach space; as a consequence, new characterizations of complete and barrelled normed spaces are proved.