Linear bijective maps preserving fixed values of products of matrices at fixed vectors

DOI10.1080/00927872.2021.1976202zbMath1489.15040OpenAlexW3199272589MaRDI QIDQ5037580

Constantin Costara

Publication date: 1 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1976202

zbMATH Keywords

matrix productslinear preserverslocal values at fixed vectors

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (2)

Surjective linear transformations of tropical matrices preserving transitive closures ⋮ Pairs of linear maps sending matrices having a fixed product into matrices with a fixed product at some vector

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
• On maps preserving rank-one nilpotents
• On maps preserving products equal to a rank-one idempotent
• On maps preserving products equal to a diagonalizable matrix

This page was built for publication: Linear bijective maps preserving fixed values of products of matrices at fixed vectors