标准算子代数上保因子交换性的映射

Let X, Y be real or complex Banach spaces with dimension greater than 2 and A, B be standard operator algebras on X and Y, respectively. Let φ ：A →B be a unital surjective map. In this paper, we characterize the map φ on .4 which satisfies （A - B）R = R（A-B） ξR （（A-B）→ （φ（B））φ（R） =φ（R）（（A）- （B）） for A, B, R E .4 and for some scalar

Maps Preserving Commutativity up to a Factor on Standard Operator Algebras

Let $X$, $Y$ be real or complex Banach spaces with dimension greater than 2 and ${\mathcal A}$, ${\mathcal B}$ be standard operator algebras on $X$ and $Y$, respectively. Let $\Phi:\mathcal A \rightarrow \mathcal B$ be a unital surjective map. In this paper, we characterize the map $\Phi$ on $\mathcal A$ which satisfies $(A-B)R=\xi R(A-B)\Leftrightarrow (\Phi(A)-\Phi(B))\Phi(R)=\xi\Phi(R)(\Phi(A)-\Phi(B))$ for $A,B,R\in \mathcal A$ and for some scalar $\xi$.