Nonlinear maps preserving the elementary symmetric functions

DOI10.26493/1855-3974.2488.f5czbMath1482.15002OpenAlexW3154106123MaRDI QIDQ5013347

Constantin Costara

Publication date: 30 November 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2488.f5c

zbMATH Keywords

eigenvalueselementary symmetric functionspreservers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Cites Work

• Linear transformations on nonnegative matrices
• Determinant preserving maps on matrix algebras
• Nonlinear invertibility preserving maps on matrix algebras
• Nonlinear determinant preserving maps on matrix algebras
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The invariance of elementary symmetric functions
• Trace preserving linear transformations on matrix algebras
• Linear Transformations on Matrices: the Invariance of the Third Elementary Symmetric Function

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