Nonlinear Mixed $\lambda$-Jordan Triple Derivation on $\ast$-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5390Keywords:
$\lambda$-Mixed Jordan triple derivation, $\ast$-derivation, $\ast$- algebraAbstract
Let $\mathcal{A}$ be a $\ast$-algebra with unit $I$ and $P_1$ and $P_2 = I - P_1$ includes a non-trivial projections, and let $\lambda \in \mathbb{C}\setminus\{0,-1\}$. In this paper, We aim to study the characterization of nonlinear mixed $\lambda$-Jordan triple derivation on $\ast$-algebras. As an application, we can also apply our results on prime $\ast$-algebras, factor von-Neumann algebras and standard operator algebras.
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Copyright (c) 2024 Amal S. Alali, junaid Nisar, Nadeem Rehman, Hafedh M. Alnoghashi
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