Strong commutativity preserving maps on von Neumann algebras

DOI10.1080/03081087.2013.873428zbMath1334.47036OpenAlexW2075795445MaRDI QIDQ2938354

Lei Liu

Publication date: 14 January 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.873428

zbMATH Keywords

von Neumann algebrasstrong commutativity preserving maps

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Related Items

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ Strong 3-commutativity preserving maps on standard operator algebras ⋮ Strong 3-skew commutativity preserving maps on prime rings with involution ⋮ Strong commutativity preserving additive maps on rank k triangular matrices ⋮ Strong 3-commutativity preserving maps on prime rings ⋮ Strong 2-skew commutativity preserving maps on prime rings with involution ⋮ Strong k-commutativity preservers on complex standard operator algebras

Cites Work

• Commutativity preserving linear maps on central simple algebras.
• Linear maps preserving commutativity
• Strong commutativity preserving maps on Lie ideals.
• Lie homomorphisms of operator algebras
• On strong commutativity preserving mappings
• Commuting Maps of Triangular Algebras
• Nonlinear Strong Commutativity Preserving Maps on Prime Rings
• Nonlinear commutativity preserving maps on self-adjoint operators
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• On Commutativity and Strong Commutativity-Preserving Maps
• Strong Commutativity Preserving Maps of Semiprime Rings
• Commutativity up to a factor of bounded operators in complex Hilbert space