On maximal nilspaces of matrices

DOI10.1080/03081087.2013.819159zbMath1309.15027OpenAlexW2086775924MaRDI QIDQ2926022

Matjaž Omladič

Publication date: 29 October 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.819159

zbMATH Keywords

rankvector spacenilpotent matrixmaximal nilspacestrictly upper-triangular matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Groups and semigroups of linear operators (47D03) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Local and global reducibility of spaces of nilpotent matrices ⋮ Linear spaces of symmetric nilpotent matrices

Cites Work

• Linear spaces of nilpotent matrices
• The maximum dimension of a subspace of nilpotent matrices of index 2
• Linear spaces of Toeplitz and nilpotent matrices
• Simultaneous triangularization
• On the dimension of linear spaces of nilpotent matrices
• On nilalgebras and linear varieties of nilpotent matrices. III
• On nilalgebras and linear varieties of nilpotent matrices. IV
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I

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