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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 |
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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 |

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