Lie Derivations of Triangular Algebras

By W. Cheung. 2003

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NONLINEAR LIE-TYPE DERIVATIONS OF VON NEUMANN ALGEBRAS (2012, background): “Many authors have made essential contributions to related topics, see all literature references [1-23].”
Nonlinear Lie triple derivations of triangular algebras (2012, background): “Then A(Z(T )) Z(A) and B(Z(T )) Z(B), and there exists a unique algebra isomorphism : B(Z(T )) ! A(Z(T )) such that (b)m1⁄4mb for all m2M, b2 B(Z(T )) [3].”
Lie derivations of generalized matrix algebras (2012, background): “Cheung [6] investigated Lie derivations of triangular algebras.”
Multiplicative Lie n-derivations of triangular rings (2012, background): “In 2003, Cheung [8] described the form of linear Lie derivations of triangular algebras.”
Lie triple derivations of unital algebras with idempotents (2015, background): “Before the first proposition, which idea arises from [15], we will introduce the following denotation.”
Commuting Maps of Triangular Algebras (2001, background): “If N `.c²0,H ´ and E is the orthonormal projection onto N, then E.E and (1®E ).”
Jordan derivations of triangular algebras (2006, background): “Recently, some problems on triangular algebras have been determined, such as commuting linear maps [5], Lie derivations [6], commuting traces of bilinear maps and commutativity preserving linear maps [2] and functional identities [1].”