Lie triple and Jordan derivable mappings on nest algebras

DOI10.1080/03081087.2012.703186zbMath1278.47094OpenAlexW2136664129WikidataQ115299729 ScholiaQ115299729MaRDI QIDQ5300052

Chang Jing Li, Xiao Chun Fang

Publication date: 24 June 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.703186

zbMATH Keywords

nest algebrasJordan derivable mappingsLie triple derivable mappings

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nest algebras, CSL algebras (47L35)

Related Items

Characterizing Jordan \(n\)-derivations of unital rings containing idempotents ⋮ \(*\)-Lie derivable mappings on von Neumann algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents ⋮ \(\ast\)-Jordan semi-triple derivable mappings ⋮ Characterization of multiplicative Lie triple derivations on rings ⋮ Generalized Lie triple higher derivable maps on rings ⋮ Lie Triple Derivable Mappings on Rings ⋮ Additivity of Jordan derivations on Jordan algebras with idempotents

Cites Work

• Jordan mappings of semiprime rings
• When is a multiplicative derivation additive?
• Additive Jordan derivations of reflexive algebras
• Lie derivable maps on \(B(X)\)
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Additivity of Jordan maps on standard operator algebras
• Lie triple derivations of nest algebras
• Lie derivations of primitive rings
• Jordan Derivable Maps of Prime Rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Operators of Rank One in Reflexive Algebras
• Lie Derivations of Triangular Algebras
• Lie triple derivations on nest algebras
• Lie derivations on triangular matrices
• On Lie derivations of Lie ideals of prime algebras

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