2019
Том 71
№ 11

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Estimation of eigenvalues of self-adjoint operators

Yavorskii Yu. M.

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Abstract

Estimates of the number of eigenvalues are obtained for perturbations of certain selfadjoint and unitary operators in a Hilbert space. As a special case, we consider a perturbation of the operator of multiplication by an independent variable in $L_2(\mathbb{R})$ and $L_2(0, 1)$.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 689-697.

Citation Example: Yavorskii Yu. M. Estimation of eigenvalues of self-adjoint operators // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 642–648.

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