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The analytic model of a subnormal operator

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Abstract

The analytic model of a pure subnormal opertor and its conjugate subnormal operator is obtained. A mosaic is introduced for subnormal operator. Some results in spectral analysis of subnormal operators are obtained by means of the analytic model and the mosaic. The form of pure subnormal operators with rank two self-commutator is determined.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, 37235, Nashville, TN, USA

    Daoxing Xia

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  1. Daoxing Xia
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Additional information

This work is partially supported by a NSF grant no DMS-8502359.

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Xia, D. The analytic model of a subnormal operator. Integr equ oper theory 10, 258–289 (1987). https://doi.org/10.1007/BF01199080

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  • DOI: https://doi.org/10.1007/BF01199080

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