Operator theory in the Hardy space over the bidisk

被引：38
|
作者：
Douglas, RG [1 ]
Yang, RW
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Univ Georgia, Dept Math, Athens, Greece
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2000年 / 38卷 / 02期
关键词：
47B35 (32A35);
D O I：
10.1007/BF01200124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we identify the vector valued Hardy space with the Hardy space over the bidisk and construct a universal model for the contractive analytic functions. We will also study some elementary properties of the submodules and show, in some cases, how the operator theoretical properties are related to the module theoretical properties. The last part focus on the study of double commutativity of compression operators.
引用
收藏
页码：207 / 221
页数：15
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