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Polar Decompositions of Normal Operators in Indefinite Inner Product Spaces
[chapter]
Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
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Polar decompositions of normal matrices in indefinite inner product spaces are studied. The main result of this paper provides sufficient conditions for a normal operator in a Krein space to admit a polar decomposition. As an application of this result, we show that any normal matrix in a finite dimensional indefinite inner product space admits a polar decomposition which answers affirmatively an open question formulated in [2] . Furthermore, necessary and sufficient conditions are given for
doi:10.1007/3-7643-7453-5_15
fatcat:jqvcxjiorvb6zkxcmegp6e6nkm