Linear spaces and preservers of symmetric matrices of bounded rank-two

DOI10.1080/03081087.2012.732576zbMath1281.15001OpenAlexW2004572787MaRDI QIDQ2850999

Zhen Chuan Ng, Wai-Leong Chooi, Ming-Huat Lim

Publication date: 1 October 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.732576

zbMATH Keywords

ranksymmetric matricesrank-two non-increasing linear mapsspaces of matrices of bounded rank-two

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86)

Related Items (2)

Large spaces of symmetric or alternating matrices with bounded rank ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices

Cites Work

• Rank-one nonincreasing additive mappings on second symmetric product spaces
• Additive mappings on symmetric matrices
• On two extremal matrix problems
• Linear preservers of balanced singular inertia classes
• On the geometry of algebraic homogeneous spaces
• Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear transformations on symmetric matrices
• Linear transformations on symmetric matrices II
• Linear mappings which are rank-knonincreasing, II

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