Rank-one operators in reflexive one-sidedA-submodules

被引：0
|
作者：
Dong Zhe
机构：
[1] Zhejiang University,Department of Mathematics
来源：
Proceedings of the Indian Academy of Sciences - Mathematical Sciences | 2004年 / 114卷
关键词：
Reflexive one-sided A-submodule; rank-one operator;
D O I：
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学科分类号：
摘要：
In this paper, we first characterize reflexive one-sided A-submodulesU of a unital operator algebraA inB(H) completely. Furthermore we investigate the invariant subspace lattice LatR and the reflexive hull RefR, whereR is the submodule generated by rank-one operators inU; in particular, ifL is a subspace lattice, we obtain when the rank-one algebraR of AlgL is big enough to determined AlgL in the following senses: AlgL = Alg LatR and AlgL = RefR.
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页码：55 / 63
页数：8
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