Linear preservers of balanced nonsingular inertia classes

DOI10.1016/0024-3795(93)00084-DzbMath0833.15001MaRDI QIDQ1894510

Raphael Loewy, Stephen J. Pierce

Publication date: 18 March 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hermitian matricesinvertible matriceslinear preserverspositive and negative eigenvalues\(R\)-linear transformationnonsingular balanced inertia class

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Linear transformations, semilinear transformations (15A04)

Related Items (2)

Linear preservers of balanced singular inertia classes ⋮ Rank preservers on spaces of symmetric matrices

Cites Work

• Linear maps which preserve a balanced nonsingular inertia class
• Positive operators and an inertia theorem
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Transformations Preserving the Real Orthogonal Group
• Signature preserving linear maps of Hermitian matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Linear Maps That Preserve an Inertia Class
• Linear transformations
• On isometries of matrix spaces
• Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear Preservers of the Class of Hermitian Matrices with Balanced Inertia
• On Matrices Whose Real Linear Combinations are Nonsingular

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