On subclasses of weak Asplund spaces

被引：0

作者：

Kalenda, OFK

Kunen, K

机构：

[1] Charles Univ Prague, Dept Math Anal, Prague 18675 8, Czech Republic

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 02期

关键词：

weak Asplund space; fragmentable space; Stegall's class of spaces; measurable cardinal;

D O I：

10.1090/S0002-9939-04-07744-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming the consistency of the existence of a measurable cardinal, it is consistent to have two Banach spaces, X, Y, where X is a weak Asplund space such that X* (in the weak* topology) in not in Stegall's class, whereas Y* is in Stegall's class but is not weak* fragmentable.

引用

页码：425 / 429

页数：5

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