TY - JOUR ID - 697932 TI - Additive maps preserving the fixed points of Jordan products of operators JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Hosseinzadeh, Roja AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran. Y1 - 2022 PY - 2022 VL - 9 IS - 1 SP - 31 EP - 36 KW - Preserver problem KW - Fixed point KW - Jordan product DO - 10.22072/wala.2022.540575.1349 N2 - Let $\mathcal{B(X)}$ be the algebra of all bounded linear operators on a complex Banach space $\mathcal{X}$. In this paper, we determine the form of a surjective additive map $\phi: \mathcal{B(X)} \rightarrow \mathcal{B(X)}$ preserving the fixed points of Jordan products of operators, i.e., $F(AoB) \subseteq F(\phi(A) o\phi(B))$, for every $A,B \in \mathcal{B(X)}$, where $AoB=AB+BA$, and $F(A)$ denotes the set of all fixed points of operator $A$. UR - https://wala.vru.ac.ir/article_697932.html L1 - https://wala.vru.ac.ir/article_697932_5239814b6e4a1f9ff9f18b7a715520e0.pdf ER -