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Remarks on the spectral shift function

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Literature cited

  1. I. M. Lifshits, “A perturbation problem related to quantum statistics,” Usp. Matem. Nauk,7, No. 1 (1952).

  2. M. G. Krein, “On the trace formula in perturbation theory,” Matem. Sborn.,33, No. 3 (1953).

  3. M. G. Krein, “Perturbation determinants and the trace formula for unitary and self-adjoint operators,” Dokl. Akad. Nauk SSSR,144, No. 2 (1962).

  4. M. G. Krein, “New investigations in the perturbation theory of self-adjoint operators,” in: First Mathematics Summer School [in Russian], Vol. 1, Kiev (1964).

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  9. M. G. Gasymov, “Sum of the differences of the eigenvalues of two self-adjoint operators,” Dokl. Akad. Nauk SSSR,150, No. 6 (1963).

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Authors
  1. M. Sh. Birman
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  2. M. Z. Solomyak
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 27, pp. 33–46, 1972.

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Birman, M.S., Solomyak, M.Z. Remarks on the spectral shift function. J Math Sci 3, 408–419 (1975). https://doi.org/10.1007/BF01084680

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  • DOI: https://doi.org/10.1007/BF01084680

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