Angles between Euclidean subspaces
type: Item
instance of: scholarly article
title: Angles between Euclidean subspaces
zbMATH Open document ID: 0860.51008
DOI: 10.1007/BF00148212
author: Sheng Jiang
published in: Geometriae Dedicata
publication date: 1997-04-21T00:00:00Z
review text: 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.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 51M16
Mathematics Subject Classification ID: 15A75
Mathematics Subject Classification ID: 51M35
Mathematics Subject Classification ID: 51K05
zbMATH DE Number: 942742
zbMATH Keywords: high-dimensional angle
zbMATH Keywords: principal angles
zbMATH Keywords: exterior algebra
zbMATH Keywords: triangle inequality
zbMATH Keywords: Grassmann manifolds
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00148212
OpenAlex ID: W2032703442
description: scientific article; zbMATH DE number 942742