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oai:docta.ucm.es:20.500.14352/578962023-06-23T09:59:07Zcom_20.500.14352_14col_20.500.14352_15

Bombal Gordón, Fernando 2023-06-20T17:10:41Z 2023-06-20T17:10:41Z 1991 0041-8986 https://hdl.handle.net/20.500.14352/57896 A 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 compact metadata only access On (V*) sets in Bochner integrable function spaces journal article