Nonlinear \(*\)-Lie higher derivations on factor von Neumann algebras

zbMath1373.47036MaRDI QIDQ2412092

Fangjuan Zhang, Xiao Fei Qi, Jian Hua Zhang

Publication date: 25 October 2017

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://bims.iranjournals.ir/article_804.html

zbMATH Keywords

von Neumann algebraadditive \(*\)-higher derivationnonlinear \(*\)-Lie higher derivation

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (8)

Nonlinear \(\xi\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ Nonlinear \(*\)-Lie \(n\)-tuple derivations on prime \(*\)-algebras ⋮ Maps preserving n-tuple A*B − B*A derivations on factor von Neumann algebras ⋮ Nonlinear skew Lie derivations on prime *-rings ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Multiplicative *-Lie type higher derivations of standard operator algebras ⋮ Unnamed Item ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras

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