Embeddings of Rearrangement Invariant Spaces that are not Strictly Singular

被引：0
|
作者：
S. J. Montgomery-Smith
E. M. Semenov
机构：
[1] University of Missouri,Department of Mathematics
[2] Voronezh State University,Department of Mathematics
来源：
Positivity | 2000年 / 4卷
关键词：
rearrangement invariant space; strictly singular mapping; Rademacher function; Orlicz space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L1([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 LΦ with Φ(x) = exp(x2)-1.
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页码：397 / 402
页数：5
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