Spaces of matrices with few eigenvalues

DOI10.1016/j.laa.2014.02.015zbMath1302.15019arXiv1302.0301OpenAlexW2056074124MaRDI QIDQ2447971

Clément de Seguins Pazzis

Publication date: 29 April 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0301

zbMATH Keywords

spectrumdimensionlinear subspacesimultaneous triangularization

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)

Related Items (4)

Range-compatible homomorphisms on matrix spaces ⋮ Range-compatible homomorphisms over fields with two elements ⋮ Primitive spaces of matrices with upper rank two over the field with two elements ⋮ Quasi-range-compatible affine maps on large operator spaces

Cites Work

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• Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman
• Linear spaces of nilpotent matrices
• On the matrices of given rank in a large subspace
• Matrix spaces with bounded number of eigenvalues
• Large affine spaces of non-singular matrices
• FROM PRIMITIVE SPACES OF BOUNDED RANK MATRICES TO A GENERALIZED GERSTENHABER THEOREM
• Spaces of matrices with a sole eigenvalue
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• On spaces of matrices with a bounded number of eigenvalues

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