2017
Том 69
№ 9

All Issues

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

Hrushevoi R. V.

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Abstract

We describe the set ∑M1 ,...,Mn и of parameters γ for which there exists a decomposition of the operator γIH into a sum of n self-adjoint operators with the spectra belonging to the sets M1 ,...,Mn .
The description of this set is performed for Mi = {0,1, ...,ki } in the case of n ≥ 4 and in some cases for n = 3.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 540-550.

Citation Example: Hrushevoi R. V. On conditions under which the sum of self-adjoint operators with given integer spectra is a scalar operator // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 470–477.

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