The kernels of powers of linear operator via Weyr characteristic

DOI10.1080/03081087.2024.2327004MaRDI QIDQ6665957

Jie Jian, Jun Liao, Heguo Liu

Publication date: 17 January 2025

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

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) Kernel operators (47B34)

Cites Work

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• Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix
• Weyr structures of matrices and relevance to commutative finite-dimensional algebras
• On approximately simultaneously diagonalizable matrices
• Kernels for certain kinds of linear transformations
• Generalization of Gracia's Results
• Dimension of the solution spaces of the matrix equations [A, [A,X = 0 and [A, [A, [A,X]]]= 0]]

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