Linear maps preserving inclusion of fixed subsets into the spectrum

DOI10.1016/j.laa.2023.11.014OpenAlexW4388817939MaRDI QIDQ6185987

Constantin Costara

Publication date: 9 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.laa.2023.11.014

zbMATH Keywords

spectrummatrix spaceslinear preserver problems

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Cites Work

• Linear transformations that preserve the nilpotent matrices
• Some general techniques on linear preserver problems
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• On Spaces of Linear Transformations with Bounded Rank
• Mathematical Aspects of the Relative Gain Array $( A \circ A^{ - T} )$
• Linear maps preserving regional eigenvalue location
• Spaces of Matrices with Several Zero Eigenvalues
• Linear operators preserving certain singular matrix sets
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua