Han, D. Lie-type higher derivations on operator algebras. (English) Zbl 1341.47041 Bull. Iran. Math. Soc. 40, No. 5, 1169-1194 (2014). Summary: Motivated by the intensive and powerful works concerning additive mappings of operator algebras, we mainly study Lie-type higher derivations on operator algebras in the current work. It is shown that every Lie (triple-)higher derivation on some classical operator algebras is of standard form. The definition of Lie \(n\)-higher derivations on operator algebras and related potential research topics are properly-posed at the end of this article. Cited in 9 Documents MSC: 47B47 Commutators, derivations, elementary operators, etc. 47C05 Linear operators in algebras Keywords:Lie higher derivation; Lie triple higher derivation; operator algebra PDFBibTeX XMLCite \textit{D. Han}, Bull. Iran. Math. Soc. 40, No. 5, 1169--1194 (2014; Zbl 1341.47041) Full Text: Link