Wavelet and Linear Algebra

MAPS PRESERVING MIXED JORDAN TRIPLE PRODUCT OF OPERATORS ON PRIME ALGEBRAS

Document Type : Research Paper

Authors

Sheida Asghari 1
Roja Hosseinzadeh 2

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran

2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.

https://doi.org/10.22072/wala.2025.2052271.1469
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.

Keywords

Preserver problem
Fixed point
Jordan product
Wavelet and Linear Algebra
Volume 12, Issue 2
December 2025
Pages 15-23

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