A weak Asplund space whose dual is not weak* fragmentable

被引：12
作者：
Kenderov, PS
Moors, WB
Sciffer, S
机构：
[1] Bulgarian Acad Sci, Inst Math, Sofia 1113, Bulgaria
[2] Univ Waikato, Dept Math, Hamilton, New Zealand
[3] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 12期
关键词：
Stegall's class; fragmentability; weak Asplund space; double arrow space; Baire space; minimal usco;
D O I：
10.1090/S0002-9939-01-06002-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under the assumption that there exists in the unit interval [0, 1] an uncountable set A with the property that every continuous mapping from a Baire metric space B into A is constant on some non-empty open subset of B, we construct a Banach space X such that (X*; weak*) belongs to Stegall's class but (X*, weak*) is not fragmentable.
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页码：3741 / 3747
页数：7
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