Rank-One Cross Commutators on Backward Shift Invariant Subspaces on the Bidisk

被引：0

作者：

Kei Ji IZUCHI ^{[1
]}

Kou Hei IZUCHI ^{[2
,3
]}

机构：

[1] Department of Mathematics, Niigata University

[2] Graduate School of Science and Technology, Niigata University

[3] Department of Mathematics, Graduate School of Science,Hokkaido University

来源：

ActaMathematicaSinica(EnglishSeries) | 2009年 / 25卷 / 05期

基金：

日本学术振兴会;

关键词：

backward shift invariant subspace; invariant subspace; Hardy space; cross commutator; rank-one operator;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

For a backward shift invariant subspace N in H~2(Γ~2),the operators Sand Son N aredefined by S=PT|and S=PT|N,where Pis the orthogonal projection from L~2(Γ~2) ontoN.We give a characterization of N satisfying rank[S,S~*]=1.

引用

页码：693 / 714

页数：22

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