On simple $n$-tuples of subspaces of a Hilbert space

• Date: 2009
• Main Authors: Samoilenko, Yu. S., Strilets, O. V., Самойленко, Ю. С., Стрелец, А. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3130
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

This survey is devoted to the structure of “simple” systems $S = (H;H_1,…,H_n)$ of subspaces $H_i,\; i = 1,…, n,$ of a Hilbert space $H$, i.e., $n$-tuples of subspaces such that, for each pair of subspaces $H_i$ and $H_j$, the angle $0 < θ_{ij} ≤ π/2$ between them is fixed. We give a descript...