Certain structure of Similarity-preserving linear maps

DOI10.1080/0308108031000134990zbMath1069.47040OpenAlexW2043397158MaRDI QIDQ4825456

Bin Ren, Guo Xing Ji

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1080/0308108031000134990

zbMATH Keywords

automorphismlinear operatorrank-1 operatorsimilarity-preserving linear map

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Spectrum-preserving linear maps
• Similarity preserving linear maps on matrices
• Linear preserver problems: A brief introduction and some special techniques
• Some general techniques on linear preserver problems
• Similarity-invariant subspaces and similarity-preserving linear maps.
• Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
• Point-spectrum-preserving elementary operators on 𝐵(𝐻)