Polar decompositions of quaternion matrices in indefinite inner product spaces

Main Article Content

Gilbert J. Groenewald
Dawie B. Janse van Rensburg
André C.M. Ran
Frieda Theron
Madelein van Straaten

Abstract

Polar decompositions of quaternion matrices with respect to a given indefinite inner product are studied. Necessary and sufficient conditions for the existence of an $H$-polar decomposition are found. In the process, an equivalent to Witt's theorem on extending $H$-isometries to $H$-unitary matrices is given for quaternion matrices.

Article Details

Section
Article

Most read articles by the same author(s)