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

• Datum: 2008
• Hauptverfasser: Hrushevoi, R. V., Грушевой, Р. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3169
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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,...