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On the rank one perturbations of the Heisenberg commutation relation and unbounded subnormal operators

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Abstract

In this paper, a functional model of rank one perturbation of the Heisenberg commutation relation is established. In some cases, it turns out to be unbounded subnormal.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, 37240, Nashville, TN, USA

    Daoxing Xia

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  1. Daoxing Xia
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Xia, D. On the rank one perturbations of the Heisenberg commutation relation and unbounded subnormal operators. Integr equ oper theory 37, 487–504 (2000). https://doi.org/10.1007/BF01192834

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  • DOI: https://doi.org/10.1007/BF01192834

1980 Mathematics Subject Classification (1985 Revision)

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