Maps on upper-triangular matrix algebras preserving \(k\)-potences

DOI10.1016/j.laa.2008.05.024zbMath1151.15007OpenAlexW2021360526WikidataQ112882161 ScholiaQ112882161MaRDI QIDQ947656

Hong You, Zhong-ying Wang

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.024

zbMATH Keywords

mapupper-triangular matrix\(k\)-potence

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04)

Related Items (4)

Maps on infinite triangular matrices preserving idempotents ⋮ A note on \(k\)-potence preservers on matrix spaces over complex field ⋮ Potent preservers of incidence algebras ⋮ Maps on \({\mathcal B}({\mathcal H})\) preserving involution

Cites Work

• Unnamed Item
• A note on \(k\)-potence preserving maps
• \(k\)-potence preserving maps without the linearity and surjectivity assumptions
• Linear preserver problems: A brief introduction and some special techniques
• Maps on matrix algebras preserving idempotents
• Idempotence-preserving maps without the linearity and surjectivity assumptions
• Hua's fundamental theorems of the geometry of matrices and related results
• Linear Preserver Problems
• Linear Transformations Preserving Potent Matrices

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