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Estimation of eigenvalues of self-adjoint operators

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Ukrainian Mathematical Journal Aims and scope

Abstract

Estimates of the number of eigenvalues are obtained for perturbations of certain self-adjoint and unitary operators in a Hilbert space. In particular, we consider a perturbation of the operator of multiplication by an independent variable inL 2 (ℝ) andL 2 (0, 1).

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References

  1. M. Reed and B. Simon,Methods of Modern Mathematical Physics, Vol. 4, Academic Press, New York (1979).

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Authors and Affiliations

  1. L'viv University, L'viv

    Yu. M. Yavorskii

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  1. Yu. M. Yavorskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 642–648, May, 1994.

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Yavorskii, Y.M. Estimation of eigenvalues of self-adjoint operators. Ukr Math J 46, 689–697 (1994). https://doi.org/10.1007/BF01058528

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  • DOI: https://doi.org/10.1007/BF01058528

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