\(k\)-potence preserving maps without the linearity and surjectivity assumptions

DOI10.1016/J.LAA.2007.04.024zbMath1127.15002OpenAlexW1974083803WikidataQ112882152 ScholiaQ112882152MaRDI QIDQ996236

Hong You, Zhong-ying Wang

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.04.024

zbMATH Keywords

mapmatrix pencilspreserverk-potent matrix

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Matrix pencils (15A22)

Related Items (5)

A note on \(k\)-potence preserving maps ⋮ Maps on upper-triangular matrix algebras preserving \(k\)-potences ⋮ Linear maps preserving \(r\)-potents of tensor products of matrices ⋮ A note on \(k\)-potence preservers on matrix spaces over complex field ⋮ Maps on \({\mathcal B}({\mathcal H})\) preserving involution

Cites Work

• Unnamed Item
• 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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