We give a simple direct proof of the polar decomposition for separated linear maps in pseudo-Euclidean geometry.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-18, author = {Maciej P. Wojtkowski}, title = {A simple proof of polar decomposition in pseudo-Euclidean geometry}, journal = {Fundamenta Mathematicae}, volume = {205}, year = {2009}, pages = {299-306}, zbl = {1191.15012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-18} }
Maciej P. Wojtkowski. A simple proof of polar decomposition in pseudo-Euclidean geometry. Fundamenta Mathematicae, Tome 205 (2009) pp. 299-306. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-18/