On linear transformations preserving star partial order in indefinite inner product spaces

K. Kamaraj () and A. Karpagam ()
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K. Kamaraj: University College of Engineering
A. Karpagam: SRM Valliammai Engineering College

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1048-1052

Abstract: Abstract Necessary and sufficient conditions for a bijective linear transformation that preserves star partial order in an indefinite inner product space are obtained, using the concept of matrix deformation.

Keywords: Indefinite Inner Product Space; Moore-Penrose Inverse; Matrix Partial Order; Star Order.; 15A09; 15A23; 15A45; 46C20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00820-7

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