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On conditions under which the sum of self-adjoint operators with given integer spectra is a scalar operator

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We describe the set \( \Sigma _{M_1 } , \ldots ,_{M_n } \) of parameters γ for which there exists a decomposition of the operator γI H in a sum of n self-adjoint operators with spectra from the sets M 1, …, M n, M i = 0, 1, …, k i, for n ≥ 4 and, in some cases, for n = 3.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    R. V. Hrushevoi

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  1. R. V. Hrushevoi
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 4, pp. 470–477, April, 2008.

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Hrushevoi, R.V. On conditions under which the sum of self-adjoint operators with given integer spectra is a scalar operator. Ukr Math J 60, 540–550 (2008). https://doi.org/10.1007/s11253-008-0079-7

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  • DOI: https://doi.org/10.1007/s11253-008-0079-7

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