Linear maps preserving the Lorentz spectrum: The $2\times 2$ case

zbMath1495.15041arXiv2111.07174MaRDI QIDQ5097503

Aelita Klausmeier, Joey Veltri, Susana Furtado, María Isabel Bueno

Publication date: 25 August 2022

Full work available at URL: https://arxiv.org/abs/2111.07174

zbMATH Keywords

preserverlinear mapLorentz coneLorentz eigenvalues\(2\times2\) matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Spectral theory; eigenvalue problems on manifolds (58C40) Linear preserver problems (15A86)

Cites Work

• Eigenvalue analysis of equilibrium processes defined by linear complementarity conditions
• On eigenvalues induced by a cone constraint.
• Second-order cone programming
• The directional instability problem in systems with frictional contacts.
• On spectral maps induced by convex cones
• Linear maps preserving the Lorentz-cone spectrum in certain subspaces of \(M_n\)
• Linear maps preserving Pareto eigenvalues

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