Rank-one nonincreasing mappings on triangular matrices and some related preserver problems

DOI10.1080/03081080108818703zbMath0992.15001OpenAlexW2069796261MaRDI QIDQ2758138

Wai-Leong Chooi, Ming-Huat Lim

Publication date: 6 September 2002

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

Full work available at URL: https://doi.org/10.1080/03081080108818703

zbMATH Keywords

triangular matricespreserving \(r\)-potentsrank-one nonincreasing mappings

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Some linear preserver problems on block triangular matrix algebras, Rank-one non-increasing additive maps between block triangular matrix algebras, Coherence invariant mappings on block triangular matrix spaces

Cites Work

• Linear preservers on matrices
• Linear preservers on powers of matrices
• Linear maps that preserve singular and nonsingular matrices
• Linear preservers on triangular matrices
• Chapter 9: miscellaneous preserver problems
• Some linear preserver problems on upper triangular matrices
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