Vector bases for two commuting matrices

DOI10.1080/03081089008818006zbMath0703.15015OpenAlexW2064193627MaRDI QIDQ3481873

José Barría, Paul R. Halmos

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03081089008818006

zbMATH Keywords

commuting matricesdimension inequalityHamilton-Cayley equationgenerated algebravector bases

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ On the structure of commutative matrices. II ⋮ The algebra generated by two commuting matrices ⋮ Some Combinatorial Cases of the Three Matrix Analog of Gerstenhaber’s Theorem (Research) ⋮ Some thoughts on Gerstenhaber's theorem ⋮ On varieties of commuting nilpotent matrices ⋮ On condensed forms for partially commuting matrices ⋮ Modules and matrices ⋮ Commuting pairs and triples of matrices and related varieties ⋮ Pairs of commuting nilpotent matrices, and Hilbert function ⋮ Approximating commuting operators ⋮ New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem ⋮ Commuting pairs in the centralizers of 2-regular matrices ⋮ On approximately simultaneously diagonalizable matrices

Cites Work

• On dominance and varieties of commuting matrices
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