Additive maps preserving M-P inverses of matrices over Fields∗

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

zbMATH Keywords

matrix algebraMoore-Penrose inverseadditive map

Mathematics Subject Classification ID

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

Related Items

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

Cites Work

• Spectrum-preserving additive maps
• Linear preservers on powers of matrices
• Additive mappings preserving operators of rank one
• Linear operators preserving idempotent matrices over fields
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