Embeddings of rearrangement invariant spaces that are not strictly singular

被引：7
|
作者：
Montgomery-Smith, SJ [1 ]
Semenov, EM
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] Voronezh State Univ, Dept Math, Voronezh 394693, Russia
来源：
POSITIVITY | 2000年 / 4卷 / 04期
关键词：
rearrangement invariant space; strictly singular mapping; Rademacher function; Orlicz space;
D O I：
10.1023/A:1009825521243
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L-1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L-Phi with Phi>(*) over bar * (x) = exp(x(2))-1.
引用
收藏
页码：397 / 402
页数：6
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