Bilocal derivations of standard operator algebras
Bilocal derivations of standard operator algebras
In this paper, we shall show the following two results: (1) Let $A$ be a standard operator algebra with $I$, if $\Phi$ is a linear mapping on $A$ which satisfies that $\Phi (T)$ maps $\ker T$ into $\operatorname {ran} T$ for all $T\in A$, then $\Phi$ is of the form …