Jordan higher all-derivable points in triangular algebras

Jun Zhu, Jinping Zhao

Let $\mathcal{T}$ be a triangular algebra. We say that $D=\{D_n:n\in N\}\subseteq L(\mathcal{T})$ is a Jordan higher derivable mapping at $G$ if $D_{n}(ST+TS)=\sum_{i+j=n}(D…