Bombal Gordón, Fernando2023-06-202023-06-2019910041-8986https://hdl.handle.net/20.500.14352/57896A subset A of a Banach space E is called a (V*) -set if, for every weakly unconditionally Cauchy (w.u.c.) series ∑x ∗ n in E ∗ , lim n→∞ sup a∈A |x ∗ n (a)|=0 . Following Pełczyński, a Banach space E is said to have property (V*) if every (V*)-set in E is relatively weakly compact. The paper under review is mainly a survey of all known results connected with property (V*) and with another property that the author introduced and called weak (V*) , where a Banach space E is said to have weak (V*) if (V*)-sets in E are weakly conditionally compactjournal articlemetadata only access515.1(V*)-setweakly unconditionally Cauchy seriesweak-(V*)- propertyTopología1210 Topología