G. Groenewald, D.B. Janse van Rensburg, A. Ran, F. Theron, M. Van Straaten
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Polar decompositions of quaternion matrices in indefinite inner product spaces
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.
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