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Nonlinear Jordan Higher Derivations of Triangular Algebras
Authors:Fu Wen-lian  Xiao Zhan-kui
Institution:School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian, 362021
Abstract:In this paper, we prove that any nonlinear Jordan higher derivation on triangular algebras is an additive higher derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.
Keywords:nonlinear Jordan higher derivation  triangular algebra  nest algebra
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