Lie derivations of $\mathcal J$-subspace lattice algebras

DOI10.1090/S0002-9939-07-08767-9zbMath1116.47060OpenAlexW1528788762MaRDI QIDQ3438123

Fangyan Lu

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08767-9

zbMATH Keywords

finite rank operatorderivationstandard algebraLie derivation, \(\mathcal{J}\)-subspace lattice algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nest algebras, CSL algebras (47L35)

Related Items (11)

Lie isomorphisms of reflexive algebras. II. ⋮ \(*\)-Lie derivable mappings on von Neumann algebras ⋮ Bilocal Lie derivations on nest algebras ⋮ Lie \(n\)-derivations on \( {\mathcal {J}}\)-subspace lattice algebras ⋮ Characterizations of nonlinear Lie derivations of \(B(X)\) ⋮ Lie-type derivations of finitary incidence algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Lie triple derivations on \(\mathcal{J}\)-subspace lattice algebras ⋮ Local maps of JSL algebras ⋮ Characterizations of Lie derivations of \(B(X)\) ⋮ Local Lie derivations of nest algebras

Cites Work

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• Jordan isomorphisms of \(\mathcal J\)-subspace lattice algebras
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Local derivations and local automorphisms.
• Local derivations
• Lie derivations of the skew elements of prime rings with involution
• Lie derivations on Banach algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Approximants, Commutants and Double Commutants in Normed Algebras
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Strongly Reflexive Lattices
• Abstract reflexive sublattices and completely distributive collapsibility
• Lie Derivations in Prime Rings With Involution
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Non-reflexive pentagon subspace lattices
• Lie Derivations of Triangular Algebras
• Local derivations on $C^*$-algebras are derivations
• Algebraic isomorphisms and Jordan derivations of J-subspace lattice algebras
• Symmetric amenability and Lie derivations
• Symmetric amenability and the nonexistence of Lie and Jordan derivations
• On Lie derivations of Lie ideals of prime algebras

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