Rank-one nonincreasing additive mappings on second symmetric product spaces

DOI10.1016/j.laa.2005.01.002zbMath1084.15008OpenAlexW2080314857MaRDI QIDQ556895

Ming-Huat Lim

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.01.002

zbMATH Keywords

rank-\(k\) nonincreasing mappingsrank-\(k\) preserverssecond symmetric product spaces

Mathematics Subject Classification ID

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

Related Items (9)

A note on additive mappings decreasing rank one ⋮ Additive mappings on symmetric matrices ⋮ Additive preservers of non-zero decomposable tensors ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Additive maps on hermitian matrices ⋮ Additive preservers of rank-additivity on matrix spaces ⋮ Linear rank one preservers on tensor products of Hermitian matrices ⋮ Additive mappings between Hermitian matrix spaces preserving rank not exceeding one ⋮ Linear spaces and preservers of symmetric matrices of bounded rank-two

Cites Work

• Additive rank-one preserving surjections on symmetric matrix spaces
• Linear transformations of tensor products preserving a fixed rank
• Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
• Linear transformations on symmetric matrices
• Linear transformations on symmetric matrices II
• Linear mappings which are rank-knonincreasing, II
• Rank preservers on spaces of symmetric matrices
• Unnamed Item

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