Characterizations of nonlinear Lie derivations of \(B(X)\)

DOI10.1155/2013/245452zbMath1271.47029OpenAlexW2068673962WikidataQ58915647 ScholiaQ58915647MaRDI QIDQ369801

Hongyu Liu, Donghua Huo, Baodong Zheng

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/245452

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47)

Related Items (3)

Linear transformations between multipartite quantum systems that map the set of tensor product of idempotent matrices into idempotent matrix set ⋮ Linear maps on upper triangular matrices spaces preserving idempotent tensor products ⋮ Induced maps on matrices over fields

Cites Work

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• Characterizations of Lie derivations of triangular algebras.
• Nonlinear Lie derivations of triangular algebras.
• Characterizations of Lie derivations of \(B(X)\)
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Continuity and linearity of additive derivations of nest algebras on Banach spaces
• Lie derivations on Banach algebras
• The structure of nonlinear Lie derivation on von Neumann algebras
• Lie derivations of certain CSL algebras
• Lie derivations of $\mathcal J$-subspace lattice algebras
• Continuity of Lie derivations on Banach algebras
• Lie Derivations of Triangular Algebras
• Symmetric amenability and Lie derivations
• Lie derivations on triangular matrices
• Symmetric amenability and the nonexistence of Lie and Jordan derivations

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