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Linear operators preserving \(t\)-congruence on matrices - MaRDI portal

Linear operators preserving \(t\)-congruence on matrices (Q1200560)

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scientific article; zbMATH DE number 95483
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English
Linear operators preserving \(t\)-congruence on matrices
scientific article; zbMATH DE number 95483

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    Linear operators preserving \(t\)-congruence on matrices (English)
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    16 January 1993
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    Unitary \(t\)-congruence and orthogonal \(t\)-congruence on complex or real square matrices are introduced. The relationship between different kinds of matrices: symmetric, general square, skew-symmetric matrices and \(t\)- congruence is studied. The characterizations of linear operators are obtained on various matrix spaces that preserve \(t\)-congruence.
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    linear preservers
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    unitary \(t\)-congruence
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    orthogonal \(t\)-congruence
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    skew-symmetric matrices
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    characterizations
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    matrix spaces
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