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

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,...

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Bibliographic Details
Date:2008
Main Authors: Hrushevoi, R. V., Грушевой, Р. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3169
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal