On (V*) sets in Bochner integrable function spaces
| dc.contributor.author | Bombal Gordón, Fernando | |
| dc.date.accessioned | 2023-06-20T17:10:41Z | |
| dc.date.available | 2023-06-20T17:10:41Z | |
| dc.date.issued | 1991 | |
| dc.description.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 | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19890 | |
| dc.identifier.issn | 0041-8986 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57896 | |
| dc.issue.number | 1 | |
| dc.journal.title | Atti del Seminario matematico e fisico dell'Università di Modena | |
| dc.page.final | 169 | |
| dc.page.initial | 165 | |
| dc.publisher | Seminario matematico e fisico, | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | (V*)-set | |
| dc.subject.keyword | weakly unconditionally Cauchy series | |
| dc.subject.keyword | weak-(V*)- property | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On (V*) sets in Bochner integrable function spaces | |
| dc.type | journal article | |
| dc.volume.number | 39 | |
| dspace.entity.type | Publication |