@Article{CMR-31-119, author = {Fu , Wenlian and Xiao , Zhankui}, title = {Nonlinear Jordan Higher Derivations of Triangular Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {2}, pages = {119--130}, 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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.03}, url = {http://global-sci.org/intro/article_detail/cmr/18934.html} }