Operator theory in the Hardy space over the bidisk (I)

Ronald G. Douglas; Rongwei Yang

doi:10.1007/BF01200124

Operator theory in the Hardy space over the bidisk (I)

Ronald G. Douglas
, Rongwei Yang

Mathematics and Statistics

University at Albany

Texas A&M University

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	207-221
Number of pages	15
Journal	Integral Equations and Operator Theory
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/BF01200124
State	Published - 2000

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abstract = "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.",

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AB - 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.

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JF - Integral Equations and Operator Theory

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Operator theory in the Hardy space over the bidisk (I)

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