Author = Sheida Asghari
Number of Articles: 1
MAPS PRESERVING MIXED JORDAN TRIPLE PRODUCT OF OPERATORS ON PRIME ALGEBRAS
Volume 12, Issue 2, December 2025, Pages 15-23
https://doi.org/10.22072/wala.2025.2052271.1469
Sheida Asghari, Roja Hosseinzadeh
Abstract Let $\mathcal{A}$ and $\mathcal{B}$
be unital prime algebras and $\mathcal{A}$ contains a non-trivial idempotent $P_1$.
We consider a bijective map $\phi: \mathcal{A} \rightarrow \mathcal{B}$ which satisfies
\begin{equation*}
\phi (A.BoA)= \phi (A). \phi(B)o \phi(A)
\end{equation*}
for every element $A,B\in \mathcal{A}$, where '.' is a usual product and "$\circ$" is a Jordan product.