Additive mappings preserving rank-one idempotents

DOI10.1007/s10114-005-0598-1zbMath1125.47028OpenAlexW2081999452MaRDI QIDQ2505354

Bojan Kuzma

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0598-1

zbMATH Keywords

idempotentsrankadditive preservers

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Vector spaces, linear dependence, rank, lineability (15A03) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (6)

Additive maps between standard operator algebras compressing certain spectral functions ⋮ Additive spectrum compressors ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators ⋮ On maps sending rank-κ idempotents to idempotents ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices

Cites Work

• On operators preserving commutativity
• Linear maps preserving invertibility or related spectral properties
• Additive mappings decreasing rank one
• Linear maps preserving idempotence on nest algebras
• Additive idempotence preservers
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Additive mappings that preserve rank one nilpotent operators.
• Additive mappings preserving operators of rank one
• Additive operators preserving idempotent matrices over fields and applications
• Additive maps on matrix algebras preserving invertibility
• Jordan Homomorphisms of Rings
• Rank-preserving linear maps on B(X)

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