Submanifolds of compact operators with fixed multiplicities of eigenvalues

• Date: 2011
• Main Authors: Bondar, A. A., Dymarskii, Ya. M., Бондарь, А. А., Дымарский, Я. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2796
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The manifold of symmetric real matrices with fixed multiplicities of eigenvalues was considered for the first time by V. Arnold. In the case of compact real self-adjoint operators, analogous results were obtained by Japanese mathematicians D. Fujiwara, M. Tanikawa, and S. Yukita. They introduced a...