The dual space of L∞ is L1

被引：3
|
作者：
Väth, M [1 ]
机构：
[1] Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 1998年 / 9卷 / 04期
关键词：
D O I：
10.1016/S0019-3577(98)80039-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The provocative title may be supposed to hold if the axiom of choice is weakened. Even more: The dual space of any Kothe space (real-valued and over a sigma-finite measure space) coincides with its associate space in the canonical way; in particular, any Kothe space with Fatou's property is reflexive. We will show that all this is true in ZF+DC + PMomega, where PMomega is introduced in the text and herds e.g. in Solovay's model.
引用
收藏
页码：619 / 625
页数：7
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