On Decompositions of a Scalar Operator into a Sum of Self-Adjoint Operators with Finite Spectrum

• Datum: 2015
• Hauptverfasser: Rabanovych, V. I., Рабанович, В. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2016
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the problem of classification of nonequivalent representations of a scalar operator $λI$ in the form of a sum of $k$ self-adjoint operators with at most $n_1 , ...,n_k$ points in their spectra, respectively. It is shown that this problem is *-wild for some sets of spectra if $(n_1 , ...,...