Linear maps preserving M-P inverses of matrices between matrix spaces over fields

DOI10.1007/s12190-007-0028-xzbMath1172.15004OpenAlexW2462742433MaRDI QIDQ949277

Hai-Yan Wu, Wei Zhang, Chong Guang Cao

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-007-0028-x

zbMATH Keywords

preserverfieldlinear mapspace of symmetric matricesMoore-Penrose (M-P) inversesspace of full matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Cites Work

• Invertible linear maps preserving \(\{1\}\)-inverses of matrices over PID
• Linear preserver problems: A brief introduction and some special techniques
• Linear operators preserving adjoint matrix between matrix spaces
• Linear maps transforming \(H\)-unitary matrices.
• Linear maps preserving Drazin inverses of matrices over fields
• Linear preservers between matrix modules over connected commutative rings
• Linear transformations between matrix spaces that map one rank specific set into another
• A class of binary matrices preserving rank under matrix addition and its application
• Linear Preserver Problems
• Additive maps preserving M-P inverses of matrices over Fields^∗
• Additive Maps Preserving Moore–Penrose Inverses of Matrices on Symmetric Matrix Spaces
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