Linear maps preserving products of positive or Hermitian matrices
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Publication:865419
DOI10.1016/j.laa.2006.06.001zbMath1112.15005OpenAlexW2031768172MaRDI QIDQ865419
Publication date: 14 February 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.2006.06.001
linear preserverdiagonalizable matricescommutativity preserving linear bijectionsnilpotent preserving mapsproduct of two Hermitian matricesproduct of two positive matricessingular preservers
Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04)
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Cites Work
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- Similarity preserving linear maps on upper triangular matrix algebras
- Spectrum-preserving linear maps
- Similarity preserving linear maps on matrices
- Products of positive semidefinite matrices
- Linear transformations that preserve the nilpotent 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 \({\mathcal B}({\mathcal H})\)
- Products of self-adjoint operators
- Point-spectrum-preserving elementary operators on đ”(đ»)
- Rank-preserving linear maps on B(X)
