Star partial order in indefinite inner product spaces

Research Article

Star partial order in indefinite inner product spaces

Published in: Quaestiones Mathematicae
Volume 45 , issue 2 , 2022 , pages: 213–221
DOI: 10.2989/16073606.2020.1851310
Author(s): Ivana M. Stanišev , Serbia
Keywords: 15A09 , 15A63 , 46C20 , 15A09 , 15A63 , 46C20
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Abstract

We define the star partial order for matrices in spaces with an indefinite inner product. We also give a characterization of that order in terms of matrices and their Moore-Penrose inverses. Finally, some interesting properties are shown.
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