Joint spectral radius and invariant subspaces

DOI10.1007/BF02482436zbMath0978.47004OpenAlexW2024086185MaRDI QIDQ1580177

Viktor S. Shul'man, Yuriĭ V. Turovskiĭ

Publication date: 15 January 2002

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482436

zbMATH Keywords

invariant subspacejoint spectral radiusessential spectral radiusCalkin algebrahyperinvariant subspaces

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Invariant subspaces of linear operators (47A15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

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• Focal set of a surface with boundary, and caustics of groups generated by reflections \(B_ k\), \(C_ k\), and \(F_ 4\)
• Bounded semigroups of matrices
• Quasinilpotent Banach-Lie algebras are Baker-Campbell-Hausdorff
• Volterra semigroups have invariant subspaces

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