Local and global reducibility of spaces of nilpotent matrices

DOI10.1016/j.laa.2020.10.031zbMath1458.15025OpenAlexW3097744121MaRDI QIDQ2228501

Mitja Mastnak, Matjaž Omladič, Klemen Šivic, Heydar Radjavi

Publication date: 17 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.10.031

zbMATH Keywords

reducibilitycompact operatorsquasinilpotent operatorstriangularizabilitylinear spaces of nilpotent matricesorder of nilpotency

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Invariant subspaces of linear operators (47A15) Algebraic systems of matrices (15A30) Diagonalization, Jordan forms (15A20)

Cites Work

• Linear spaces of nilpotent matrices
• Simultaneous triangularization
• On maximal nilspaces of matrices
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• On Spaces of Linear Transformations with Bounded Rank
• LARGE SPACES OF MATRICES OF BOUNDED RANK
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