Additive maps preserving M-P inverses of matrices over Fields∗
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Publication:4264516
DOI10.1080/03081089908818614zbMath0939.15001OpenAlexW1996811549MaRDI QIDQ4264516
Changjiang Bu, Xian Zhang, Chong Guang Cao
Publication date: 23 November 1999
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089908818614
Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)
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Invertible linear maps preserving \(\{1\}\)-inverses of matrices over PID ⋮ Additive Maps Preserving Moore–Penrose Inverses of Matrices on Symmetric Matrix Spaces ⋮ Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras ⋮ Linear maps preserving M-P inverses of matrices between matrix spaces over fields ⋮ Linear maps preserving Drazin inverses of matrices over fields ⋮ Three linear preservers on infinite triangular matrices ⋮ Inverse-preserving linear maps between spaces of matrices over fields ⋮ Maps preserving the Douglas solution of operator equations ⋮ Additive rank-one preserving surjections on symmetric matrix spaces
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