A short proof of Hua's fundamental theorem of the geometry of Hermitian matrices.

DOI10.1016/S0723-0869(03)80012-9zbMath1036.15002OpenAlexW2075869743MaRDI QIDQ1812478

Peter Šemrl, Heydar Radjavi

Publication date: 28 October 2003

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0723-0869(03)80012-9

zbMATH Keywords

Hermitian matrixadjacencygeometry of matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

Maps on matrix spaces ⋮ The optimal version of Hua's fundamental theorem of geometry of square matrices -- the low dimensional case ⋮ Symmetries on bounded observables: a unified approach based on adjacency preserving maps ⋮ Bijections preserving invertibility of differences of matrices on \(H_n\) ⋮ Adjacency preserving maps on the space of symmetric operators ⋮ Nonlinear maps preserving solvability

Cites Work

• Unnamed Item
• On Hua's fundamental theorem of the geometry of rectangular matrices
• Adjacency preserving maps on matrices and operators
• Geometries of Matrices. I 1 Arithmetical Construction

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