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

• Дата: 2006
• Автори: Ostrovskii, V. L., Samoilenko, Yu. S., Островський, В. Л., Самойленко, Ю. С.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3554
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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-...