Impacto
Downloads
Downloads per month over past year
Bombal Gordón, Fernando (1991) On (V*) sets in Bochner integrable function spaces. Atti del Seminario matematico e fisico dell'Università di Modena, 39 (1). pp. 165-169. ISSN 0041-8986
Abstract
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
Item Type: | Article |
---|---|
Uncontrolled Keywords: | (V*)-set; weakly unconditionally Cauchy series; weak-(V*)- property |
Subjects: | Sciences > Mathematics > Topology |
ID Code: | 19890 |
Deposited On: | 11 Feb 2013 15:16 |
Last Modified: | 11 Feb 2013 15:16 |
Origin of downloads
Repository Staff Only: item control page