Linear preservers of balanced singular inertia classes

DOI10.1016/0024-3795(94)90105-8zbMath0805.15011OpenAlexW4205715709MaRDI QIDQ1329997

Raphael Loewy, Stephen J. Pierce

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90105-8

zbMATH Keywords

classificationlinear transformationeigenvalueslinear preserverssingular inertia classes

Mathematics Subject Classification ID

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

Related Items (2)

Rank preservers on spaces of symmetric matrices ⋮ Linear spaces and preservers of symmetric matrices of bounded rank-two

Cites Work

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• Linear maps which preserve a balanced nonsingular inertia class
• Linear transformations which preserve or decrease rank
• Spaces of matrices of equal rank
• Positive semidefinite biquadratic forms
• Linear preservers of balanced nonsingular inertia classes
• Linear preservers on spaces of Hermitian or real symmetric matrices
• Positive operators and an inertia theorem
• Onk-spaces of real matrices
• Signature preserving linear maps of Hermitian matrices
• Linear Maps That Preserve an Inertia Class
• 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
• Linear mappings which are rank-knonincreasing, II
• On Matrices Whose Real Linear Combinations are Nonsingular

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