Nonlinear Jordan Higher Derivations of Triangular Algebras

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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.

Keywords:

nonlinear Jordan higher derivation triangular algebra nest algebra.
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DOI

10.13447/j.1674-5647.2015.02.03

How to Cite

Nonlinear Jordan Higher Derivations of Triangular Algebras. (2021). Communications in Mathematical Research, 31(2), 119-130. https://doi.org/10.13447/j.1674-5647.2015.02.03