Bijections preserving invertibility of differences of matrices on \(H_n\)

DOI10.1007/s10114-007-1021-xzbMath1165.15001OpenAlexW2157702425MaRDI QIDQ953228

Damjan Kobal

Publication date: 17 November 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-1021-x

zbMATH Keywords

rankHermitian matrixinvertible matrixadjacentinvertibility preserver

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items

Symmetries on bounded observables: a unified approach based on adjacency preserving maps ⋮ Geometry of rectangular block triangular matrices

Cites Work

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• A short proof of Hua's fundamental theorem of the geometry of Hermitian matrices.
• A characterization of maximal ideals
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• A characterization of multiplicative linear functionals in Banach algebras
• On locally linearly dependent operators and derivations
• From geometry to invertibility preservers
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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