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On a Perturbation Determinant for Accumulative Operators

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Abstract

For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas.

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Authors and Affiliations

  1. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA

    Konstantin A. Makarov

  2. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 87131, USA

    Anna Skripka & Maxim Zinchenko

Authors
  1. Konstantin A. Makarov
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  2. Anna Skripka
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  3. Maxim Zinchenko
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Corresponding author

Correspondence to Maxim Zinchenko.

Additional information

Anna Skripka’s research was supported in part by National Science Foundation Grant DMS–1249186. Maxim Zinchenko’s research was supported in part by Simons Foundation Grant CGM–281971.

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Makarov, K.A., Skripka, A. & Zinchenko, M. On a Perturbation Determinant for Accumulative Operators. Integr. Equ. Oper. Theory 81, 301–317 (2015). https://doi.org/10.1007/s00020-014-2212-3

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  • DOI: https://doi.org/10.1007/s00020-014-2212-3

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