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Here $\\{\\varphi_k\\}_{k=1}^\\infty$ is an orthonormal system of the eigenvectors of the operator $T$ corresponding to the eigenvalues $\\{\\mu_k\\}_{k=1}^\\infty$. We introduce the concept of $\\alpha$-non-condensing sequence and prove the theorem on the comparison of the eigenvalue-counting functions of the operators $T$ and $T+B$. 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