Nonlinear maps preserving Lie products on triangular algebras

DOI10.1515/spma-2016-0006zbMath1331.47088OpenAlexW2331719168MaRDI QIDQ908197

Wei-Yan Yu

Publication date: 3 February 2016

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2016-0006

zbMATH Keywords

Lie productnest algebrapreservertriangular algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Cites Work

• Unnamed Item
• Unnamed Item
• Lie triple derivations of CSL algebras
• Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras
• Biderivations of triangular algebras.
• Generalized biderivations of nest algebras
• Jordan derivations of triangular algebras
• Nonlinear maps preserving Lie products on factor von Neumann algebras
• Additive maps preserving Jordan zero-products on nest algebras
• Nonlinear Lie derivations of triangular algebras.
• Lie isomorphisms of nest algebras
• Additive Jordan isomorphisms of nest algebras on normed spaces
• Commuting traces and commutativity preserving maps on triangular algebras.
• Commutativity preserving linear maps on central simple algebras.
• Linear maps preserving commutativity
• Lie homomorphisms of operator algebras
• Commuting Maps of Triangular Algebras
• Nonlinear commutativity preserving maps on self-adjoint operators
• Commutativity Preserving Maps of Factors
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Derivations of Triangular Algebras
• Lie Isomorphisms of Simple Rings
• Lie Isomorphisms of Factors
• Preserving commutativity

This page was built for publication: Nonlinear maps preserving Lie products on triangular algebras