Maps completely preserving idempotents and maps completely preserving square-zero operators
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Publication:980508
DOI10.1007/s11856-010-0032-yzbMath1189.47035OpenAlexW2013041439MaRDI QIDQ980508
Publication date: 29 June 2010
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-010-0032-y
Related Items (9)
Maps completely preserving spectral functions ⋮ Unnamed Item ⋮ Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ Maps preserving the square zero of η-Lie product of operators ⋮ Completely square-zero preserving maps on ⋮ Maps preserving 2-idempotency of certain products of operators ⋮ Characterizing isomorphisms in terms of completely preserving invertibility or spectrum ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product ⋮ Maps preserving Drazin invertible operator matrices with non-singular Schur complement
Cites Work
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- Maps on matrix spaces
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- Additive spectrum compressors
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- Additive idempotence preservers
- Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
- Completely rank-nonincreasing linear maps
- Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
- Automorphisms of the poset of skew projections
- Additive mappings preserving rank-one idempotents
- Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
- Spectrum preserving linear mappings in Banach algebras
- The spectrally bounded linear maps on operator algebras
- Linear maps on von Neumann algebras preserving zero products on tr-rank
- Maps on idempotents
- Invertibility preserving linear maps on ℒ(𝒳)
- Rank-preserving linear maps on B(X)
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