Linear maps between C*-algebras that are *-homomorphisms at a fixed point

María J. Burgos, J. Cabello-Sánchez, Antonio M. Peralta

Let $A$ and $B$ be C${}^{\ast }$-algebras. A linear map $T:A\to B$ is said to be a ${}^{\ast }$-homomorphism at an element $z\in A$ if $a{b}^{\ast }=z$ in $A$ implies $T(a{b}^{\ast })=T(a)T(b{)}^{\ast }=T(z)$, an…