Additive mappings that do not increase minimal rank of alternate matrices

DOI10.1080/03081080500092364zbMath1080.15001OpenAlexW2079357689MaRDI QIDQ5693564

Bojan Kuzma

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500092364

zbMATH Keywords

rankadditive preserverfieldalternate matrix

Mathematics Subject Classification ID

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

Related Items (2)

Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Additive maps on hermitian matrices

Cites Work

• Additive maps on standard operator algebras preserving parts of the spectrum.
• Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices.
• Additive rank-one preserving mappings on triangular matrix algebras
• Linear/additive preservers of rank 2 on spaces of alternate matrices over fields
• Linear maps preserving rank 2 on the space of alternate matrices and their applications
• Linear/additive preservers of ranks 2 and 4 on alternate matrix spaces over fields
• Additive mappings preserving operators of rank one
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear Transformations on Grassmann Spaces III
• Invertibility preserving linear maps on ℒ(𝒳)

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