Additive maps preserving operator–eigenvector relations

DOI10.1080/03081087.2013.791691zbMath1297.15030OpenAlexW2024912019MaRDI QIDQ5495758

Hung-Yuan Chen

Publication date: 7 August 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.791691

zbMATH Keywords

eigenvectorinvariant subspacedivision ringpreserveradditive map

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Invariant subspaces of linear operators (47A15) Finite-dimensional division rings (16K20) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Cites Work

• On maps preserving square-zero matrices.
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces

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