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Similarity preserving linear maps on upper triangular matrix algebras

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Publication:819776
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DOI10.1016/j.laa.2005.10.003zbMath1092.15002OpenAlexW2019528516MaRDI QIDQ819776

Guo Xing Ji, Bao-Wei Wu

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.003

zbMATH Keywords

similarity invariant subspacesimilarity preserving linear mapupper-triangular matrix


Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)


Related Items

Linear maps preserving products of positive or Hermitian matrices



Cites Work

  • Unnamed Item
  • Spectrum-preserving linear maps
  • Similarity preserving linear maps on matrices
  • Linear preserver problems: A brief introduction and some special techniques
  • Spectrum-preserving elementary operators on \(B(X)\)
  • Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\))
  • 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 đ”(đ»)
  • Rank-preserving linear maps on B(X)
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