On maps preserving rank-one nilpotents

DOI10.1080/03081087.2019.1707753zbMath1480.15032OpenAlexW2998644298MaRDI QIDQ5012483

Louisa Catalano, Megan Chang-Lee

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1707753

zbMATH Keywords

nilpotent matricesmaps preserving products

Mathematics Subject Classification ID

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

Related Items (7)

Linear bijective maps preserving fixed values of products of matrices at fixed vectors ⋮ Fixed product preserving mappings on Banach algebras ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ On maps preserving Lie products equal to a rank-one nilpotent ⋮ Pairs of linear maps on matrix spaces preserving products equal to fixed elements ⋮ Linear maps preserving products equal to primitive idempotents of an incidence algebra ⋮ On maps preserving square roots of idempotent and rank-one nilpotent matrices

Cites Work

• Zero product determined matrix algebras
• Maps on simple algebras preserving zero products. I: The associative case
• On maps characterized by action on equal products
• On maps preserving products of matrices
• Maps characterized by action on zero products.
• On maps preserving Lie products equal to a rank-one nilpotent
• On Maps Preserving Products
• A NOTE ON 2-LOCAL MAPS
• Linear maps on von Neumann algebras preserving zero products on tr-rank
• Mappings preserving zero products
• Orthogonality preserving linear maps on group algebras

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