Nonlinear Jordan Higher Derivations of Triangular Algebras |
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Authors: | Fu Wen-lian Xiao Zhan-kui |
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Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian, 362021 |
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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. |
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Keywords: | nonlinear Jordan higher derivation triangular algebra nest algebra |
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