Research problem: Lipschitz properties of matrix group actions

DOI10.1080/03081080410001697804zbMath1072.15032OpenAlexW1973481263MaRDI QIDQ4655436

Leiba Rodman, Stephen J. Pierce

Publication date: 11 March 2005

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

Full work available at URL: https://doi.org/10.1080/03081080410001697804

zbMATH Keywords

analytic Lie groupanalytic local cross sectionslocal and global Lipschitz propertiesmatrix group action

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Conditioning of matrices (15A12)

Related Items (2)

Lipschitz property for systems of linear mappings and bilinear forms ⋮ Remarks on Lipschitz properties of matrix groups actions

Cites Work

• On the distance between lattices of invariant subspaces of matrices
• Lipschitz properties of some actions of matrix groups
• Joint similarity orbits with local cross sections
• Congruences and Norms of Hermitian Matrices
• On Simultaneous Congruence and Norms of Hermitian Matrices
• Sylvester's Theorem for Matrices with Smooth Entries

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