TY - JOUR
T1 - Nonlinear Jordan Higher Derivations of Triangular Algebras
AU - Fu , Wenlian
AU - Xiao , Zhankui
JO - Communications in Mathematical Research 
VL - 2
SP - 119
EP - 130
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.02.03
UR - https://global-sci.org/intro/article_detail/cmr/18934.html
KW - nonlinear Jordan higher derivation, triangular algebra, nest algebra.
AB - <p style="text-align: justify;">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.</p>