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

  • V. L. Ostrovskii
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ

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.
Published
25.11.2006
How to Cite
OstrovskiiV. L., and SamoilenkoY. S. “On Spectral Theorems for Families of Linearly Connected Self-Adjoint Operators With Given Spectra Associated With Extended Dynkin Graphs”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 11, Nov. 2006, pp. 1556–1570, https://umj.imath.kiev.ua/index.php/umj/article/view/3554.
Section
Research articles