Maps completely preserving spectral functions
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Publication:636236
DOI10.1016/j.laa.2011.04.039zbMath1230.47066OpenAlexW1982397176MaRDI QIDQ636236
Publication date: 26 August 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.039
Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (2)
Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product
Cites Work
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- A characterization of homomorphisms between Banach algebras
- On positive linear maps preserving invertibility
- Additive maps between standard operator algebras compressing certain spectral functions
- Maps completely preserving idempotents and maps completely preserving square-zero operators
- Additive maps on standard operator algebras preserving parts of the spectrum.
- Invertibility preserving maps preserve idempotents
- Additive spectrum compressors
- Completely rank-nonincreasing linear maps on spaces of operators
- Completely rank-nonincreasing linear maps
- Linear maps between Banach algebras compressing certain spectral functions
- Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
- Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
- Completely rank nonincreasing linear maps on nest algebras
- Linear maps on von Neumann algebras preserving zero products on tr-rank
- Invertibility preserving linear maps on ℒ(𝒳)
- Jordan isomorphisms and maps preserving spectra of certain operator products
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