Linear operators preserving certain functions on singular values of matrices
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Publication:3481880
DOI10.1080/03081089008817970zbMath0703.15024OpenAlexW2086394779MaRDI QIDQ3481880
Publication date: 1990
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089008817970
Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items (5)
Preservers of unitary similarity functions on Lie products of matrices ⋮ A special linear operator on ⋮ Chapter 5: linear preservers on functions of Singular values ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Overgroups of some classical linear groups with applications to linear preserver problems
Cites Work
- Duality between some linear preserver problems. II: Isometries with respect to c-spectral norms and matrices with fixed singular values
- Certain isometries of rectangular complex matrices
- Isometries of norm ideals of compact operators
- The isometries of \(C_p\)
- Isometries of matrix algebras
- Trace preserving mappings of matrix algebras
- A generalization of the unitary groups
- Linear operators preserving unitarily invariant norms of matrices
- Linear transformations on tensor spaces
- Some isometries of rectangular complex matrices
- Linear transformations on that preserve the Ky Fank-norm and a remarkable special case when (nk) = (4, 2)
- On the general Schwarzian lemma
- Analytical characterization of displacements in general Poincaré space
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