Pairs of linear maps on matrix spaces preserving products equal to fixed elements

DOI10.1007/s13398-022-01322-5zbMath1505.15027OpenAlexW4297831374WikidataQ114219793 ScholiaQ114219793MaRDI QIDQ2081229

Constantin Costara

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01322-5

zbMATH Keywords

products of matriceslinear preserver problem

Mathematics Subject Classification ID

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

Related Items (2)

Pairs of linear maps sending matrices having a fixed product into matrices with a fixed product at some vector ⋮ Bilinear maps on C*-algebras that have product property at a compact element

Cites Work

• On maps characterized by action on equal products
• On maps preserving products of matrices
• Linear bijective maps preserving fixed products of matrices
• On maps preserving products equal to fixed elements
• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• On linear transformations preserving at least one eigenvalue
• 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: Pairs of linear maps on matrix spaces preserving products equal to fixed elements