Linear rank one preservers between spaces of matrices with zero trace

DOI10.1016/j.laa.2009.01.012zbMath1170.15001OpenAlexW2088410689MaRDI QIDQ1020929

Ming-Huat Lim

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.01.012

zbMATH Keywords

linear preservertensor productdecomposable tensorslinear rank-one preserversrank one nilpotenttrace-like linear functional

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• Maps on simple algebras preserving zero products. II: Lie algebras of linear type
• On matrices of trace zero
• Transformations on tensor product spaces
• Linear transformations that preserve the nilpotent matrices
• Linear spaces of real matrices of constant rank
• Coherence invariant mappings on block triangular matrix spaces
• Linear transformations between matrix spaces that map one rank specific set into another
• Additive mappings that preserve rank one nilpotent operators.
• Quadratic transformations on matrices: Rank preservers
• Transformations on tensor spaces
• Additive maps preserving nilpotent operators or spectral radius
• The rank of a commutator
• Linear transformations on tensor spaces
• Linear Operators Preserving Similarity Classes and Related Results
• Bilinear transformations on matrices: Rank preservers