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Additive maps preserving \(r\)-nilpotent perturbation of scalars on \(B(\mathcal{H})\)

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Publication:781726
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DOI10.1007/s43034-020-00060-2zbMath1498.47085OpenAlexW3011239629MaRDI QIDQ781726

D. Kharzeev

Publication date: 17 July 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-020-00060-2

zbMATH Keywords

Hilbert spacescommutativitypreservers\(r\)-nilpotent operators


Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)




Cites Work

  • Unnamed Item
  • Linear transformations that preserve the nilpotent matrices
  • Linear preserver problems: A brief introduction and some special techniques
  • Additive maps preserving nilpotent perturbation of scalars
  • Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
  • Linear maps and additive maps that preserve operators annihilated by a polynomial
  • Additive mappings that preserve rank one nilpotent operators.
  • On maps preserving square-zero matrices.
  • Additive maps preserving nilpotent operators or spectral radius
  • Linear mappings preserving square-zero matrices
  • Strong k-commutativity preservers on complex standard operator algebras
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