Departamento de Matemáticas, Universidad de Cádiz, Apdo. 40, 11510-Puerto Real, Cádiz, Spain
Abstract:
Several classical results on uniform convergence of unconditionally Cauchy series are generalized to weakly unconditionally Cauchy series. This uniform convergence is characterized through subalgebras and subfamilies of . A generalization of the Orlicz-Pettis theorem is also proved by mean of subalgebras of .