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

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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 thecontractive 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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Authors and Affiliations

  1. Dept. of Mathematics, Texas A & M University, College-Station, TX

    Ronald G. Douglas

  2. Dept. of Mathematics, University of Georgia, Athens, GA

    Rongwei Yang

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  1. Ronald G. Douglas
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  2. Rongwei Yang
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Douglas, R.G., Yang, R. Operator theory in the Hardy space over the bidisk (I). Integr equ oper theory 38, 207–221 (2000). https://doi.org/10.1007/BF01200124

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  • DOI: https://doi.org/10.1007/BF01200124

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