2017
Том 69
№ 6

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

Ostrovskii V. L., Samoilenko Yu. S.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 11, pp 1768-1785.

Citation Example: Ostrovskii V. L., Samoilenko Yu. S. On spectral theorems for families of linearly connected self-adjoint operators with given spectra associated with extended Dynkin graphs // Ukr. Mat. Zh. - 2006. - 58, № 11. - pp. 1556–1570.

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