@article{Nisar2024, 
author = {Junaid Nisar and Turki Alsuraiheed and Nadeem ur Rehman},
title = {Nonlinear mixed type product  [K,F]∗⊙D on  ∗-algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21596-21608},
keywords = {mixed bi-skew Jordan triple derivation, ∗-derivation, ∗- algebra, involution},
url = {https://www.sciopen.com/article/10.3934/math.20241049},
doi = {10.3934/math.20241049},
abstract = {Let  A be a unital  ∗-algebra containing a non-trivial projection. In this paper, we prove that if a map  Ω :  A  →  A such that   Ω([K,F]∗⊙D)=[Ω(K),F]∗⊙D+[K,Ω(F)]∗⊙D+[K,F]∗⊙Ω(D),where  [K,F]∗=KF−FK∗ and  K⊙F=K∗F+FK∗ for all  K,F,D∈A, then  Ω is an additive  ∗-derivation. Furthermore, we extend its results on factor von Neumann algebras, standard operator algebras and prime  ∗-algebras. Additionally, we provide an example illustrating the existence of such maps.}
}