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On spectral theorems for families of linearly connected self-adjoint operators with given spectra associated with extended Dynkin graphs

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We prove spectral theorems for families of linearly connected self-adjoint operators with given special spectra associated with extended Dynkin graphs. We establish that all irreducible families of linearly connected operators with arbitrary spectra associated with extended Dynkin graphs are finite-dimensional.

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Authors and Affiliations

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

    V. L. Ostrovs’kyi & Yu. S. Samoilenko

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  1. V. L. Ostrovs’kyi
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  2. Yu. S. Samoilenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 11, pp. 1556–1570, November, 2006.

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Ostrovs’kyi, V.L., Samoilenko, Y.S. On spectral theorems for families of linearly connected self-adjoint operators with given spectra associated with extended Dynkin graphs. Ukr Math J 58, 1768–1785 (2006). https://doi.org/10.1007/s11253-006-0167-5

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  • DOI: https://doi.org/10.1007/s11253-006-0167-5

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