Linear bijective maps preserving fixed products of matrices

DOI10.1016/j.jalgebra.2021.08.011zbMath1478.15004OpenAlexW3194894387WikidataQ123296246 ScholiaQ123296246MaRDI QIDQ1984355

Constantin Costara

Publication date: 16 September 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.08.011

zbMATH Keywords

products of matriceslinear preserver problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (3)

Fixed product preserving mappings on Banach algebras ⋮ Pairs of linear maps sending matrices having a fixed product into matrices with a fixed product at some vector ⋮ Pairs of linear maps on matrix spaces preserving products equal to fixed elements

Cites Work

• On maps characterized by action on equal products
• On maps preserving products of matrices
• On maps preserving products equal to fixed elements
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions

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