Angles between Euclidean subspaces
Using exterior algebra, the author considers the angle \(\theta\) between two subspaces of dimensions \(p\) and \(q\) in an Euclidean space. He first generalizes some well-known properties of angles to the higher-dimensional case, and then proves a result analogous to the triangle inequality. He obtains a simple relation between the higher-dimensional angle \(\theta\) and the principal angles \(\theta_1, \theta_2, \dots, \theta_p\) [see \textit{J. M. Miao} and \textit{A. Ben-Israel}, Linear Algebra Appl. 171, 81-98 (1992; Zbl 0779.15003)]. Finally, he briefly discusses an application to Grassmann manifolds.
scientific article; zbMATH DE number 942742